# BSB 123 Data Analysis Worksheet

Description

BSB123 Data Analysis
Take Home Assessment 2
Probability and Introduction to Probability Distributions
For this problem please use the Excel file THA 2 (2022-01).xls
Show all formulas and calculations. If you do the calculations in Excel please copy across the
relevant Table/Output
Question One (10 Marks)
The data for this question relates to information provided in THA 1 on international student admissions to graduate programs
in the USA. Data is the same with one additional variable
• GRE Score – an admissions test which provides a score between 260 and 340.
• TOEFL – an English language test score out of 120
• University Rating – 1 to 5 with 1 highest rating
• CGPA – Cumulative Grade Point Average out of 10
• Gender
• Level of Award – Student achievement rating (Pass, Credit, Distinction or High Distinction)
a.
b.
Use a pivot table to construct both a cross tabulation and a joint probability table for the two variables University Rating
and Student Achievement Rating (Level of Award)
Calculate the following probabilities showing rules and calculations:
I.
A student comes from a Rating 4 university and achieved a Distinction Rating.
II.
A student comes from a Rating 2 university or achieved a pass rating.
III.
Given a student came from a Rating 1 university that they achieved a High Distinction
IV.
Given a student achieved a high distinction that they came from a rating one university.
V.
Using data from the Rating 3 universities and the students who achieved a Pass can you say that the two
variables University Rating and Level of Award are independent? (Check: you should get a value of 0.006)
VI.
That a student who was NOT a high distinction student came from a rating 2 university
Question Two (8 Marks)
A company has been running a particular manufacturing process for 3 years and has accumulated a large amount of
data on the number of defective items produced each day. Data from 600 days of production gives the number of
defective items per day:
X – Number of Defective Items
Number of Days
a.
b.
c.
d.
0
75
1
180
2
150
3
90
4
65
5
40
Convert the data to a probability distribution
What is the probability that there are between 2 and 4 defective items inclusive in one day
What is the expected number of defective items per day
What is the standard deviation of the number of defective items per day (Check: 1.408)
The company has been approached to purchase a new process. The supplier is promoting that the new process will
produce fewer defectives on average and has provided the following probability distribution as evidence
BSB123 Data Analysis
X – Number of Defective Items
Probability
e.
f.
0
0.15
1
0.35
2
0.175
3
??
4
0.1
5
0.1
Calculate the Expected Value and Standard Deviation of the number of defectives for the new process
Does this data support the suppliers claim that the process is better. Use both the expected value and the standard
Question Three (2 marks)
90% of all Data Analysis students who complete all of the THA’s pass the subject. Unfortunately only 50% of students do
all of the THA’s. Overall 80% of students pass Data Analysis. What is the probability that a student who did not complete
all of the THA’s will fail Data Analysis?
Submission Instructions:
1. Submit your THA as a single document in pdf format via Blackboard. Please use the title:
THA2.pdf
2.
Due: 10th April, 2021 (Sunday) 11:59 pm
BSB123 Data Analysis
0.34
0.34
0.36
0.36
0.37
0.38
0.38
0.39
0.42
0.42
0.42
0.42
0.43
0.44
0.44
0.44
0.45
0.45
0.45
0.46
0.46
0.46
0.46
0.46
0.47
0.47
0.47
0.47
0.47
0.48
0.48
0.48
0.49
0.49
0.49
0.49
0.49
0.5
0.5
0.51
0.51
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.53
GRE Score
298
297
275
303
295
299
304
315
311
304
299
299
297
298
296
301
323
290
298
280
308
298
294
302
307
296
295
304
290
307
309
306
316
294
316
296
317
302
312
298
299
325
304
325
297
312
302
316
313
TOEFL Score
98
91
94
94
97
100
98
98
92
95
94
102
95
96
96
104
103
95
103
96
105
98
103
101
98
92
92
96
97
99
98
96
100
100
103
99
92
98
99
99
92
91
94
100
99
95
103
100
99
University Rating
2
2
1
3
1
3
2
2
2
4
1
3
2
2
2
2
3
4
2
1
3
2
1
2
3
2
2
2
1
2
2
2
2
1
1
2
3
1
3
1
2
3
1
3
1
1
3
3
2
CGPA
8.03
7.43
6.8
7.66
7.57
7.66
7.66
7.65
8.3
7.84
7.34
7.42
7.89
7.5
7.54
7.88
8.6
7.46
7.21
7.2
8
7.6
7.36
7.96
8.2
7.28
7.34
7.64
7.56
7.7
8.1
8
8.2
7.64
7.43
7.8
7.94
8
8.02
7.88
7.88
8.4
7.5
8.7
7.9
8.01
7.45
7.68
8.5
Gender
Male
Male
Female
Female
Male
Female
Male
Male
Male
Male
Female
Female
Female
Female
Male
Female
Male
Male
Female
Male
Female
Female
Female
Male
Male
Female
Male
Female
Male
Male
Male
Female
Female
Female
Female
Male
Female
Female
Male
Male
Female
Male
Female
Female
Male
Female
Male
Male
Female
0.53
0.53
0.53
0.53
0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.55
0.55
0.56
0.56
0.56
0.56
0.56
0.56
0.56
0.57
0.57
0.57
0.57
0.57
0.57
0.57
0.57
0.57
0.57
0.58
0.58
0.58
0.58
0.58
0.58
0.58
0.58
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.6
0.6
0.61
0.61
298
307
305
298
314
310
304
299
298
301
305
297
325
309
312
315
299
300
302
303
313
316
317
310
301
315
295
302
311
297
304
300
315
307
300
308
298
308
310
311
299
305
297
314
305
300
296
309
311
327
98
100
104
96
93
93
95
102
101
95
94
105
91
98
100
103
91
92
101
92
98
93
102
104
102
104
99
98
103
94
99
94
102
90
99
98
104
100
94
105
102
99
105
95
104
97
99
92
92
98
1
2
2
4
3
2
2
2
2
1
4
4
4
2
2
2
3
2
2
1
2
2
2
4
4
1
2
1
1
3
3
1
1
2
1
3
3
2
1
3
1
2
2
4
2
3
1
2
1
2
7.46
8.1
7.79
7.69
8.3
7.3
8.2
7.86
7.86
7.56
8.26
7.81
8.92
7.68
7.9
8.5
8.62
7.87
7.97
7.65
8.13
8.64
8.47
8.36
8.47
7.86
7.65
7.25
7.46
7.67
7.86
7.8
7.95
7.65
8.01
8.24
7.95
7.98
7.23
8.45
7.89
8.13
7.67
7.88
7.64
7.88
7.68
8.03
8.2
9.02
Male
Female
Female
Female
Male
Male
Female
Female
Male
Female
Female
Female
Female
Female
Female
Female
Male
Male
Female
Female
Male
Male
Female
Female
Female
Male
Female
Female
Male
Male
Male
Female
Male
Male
Male
Female
Male
Male
Female
Female
Male
Male
Female
Female
Male
Female
Female
Male
Female
Male
0.61
0.61
0.61
0.61
0.61
0.61
0.61
0.61
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.63
0.63
0.63
0.63
0.63
0.63
0.63
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.65
0.65
0.65
305
308
306
296
316
322
300
317
307
303
314
301
309
313
305
313
300
311
307
304
300
318
315
306
314
299
300
304
312
299
320
316
301
314
318
312
300
313
293
305
312
304
312
303
314
306
311
314
319
300
103
98
98
99
99
100
94
95
90
101
96
98
90
92
105
102
101
104
90
104
102
94
96
96
99
91
91
91
95
91
90
104
102
98
91
97
102
93
94
103
93
96
95
94
93
95
93
102
101
105
5
2
1
2
1
4
2
2
1
5
5
5
5
4
3
4
5
1
3
2
3
3
2
3
2
1
5
3
3
2
5
2
4
4
4
3
2
2
3
5
2
2
4
3
1
4
2
4
3
5
8.48
8.22
8.14
8.03
8.32
8.02
8.02
7.65
8
8.5
8.25
8.34
8
8.43
8.18
8.04
8.26
7.64
7.94
8.12
8.22
8.8
7.89
8.45
8.56
8.02
8.17
8.22
7.9
8.4
7.7
7.4
8.22
8.14
7.92
8.12
8.66
8.27
7.8
8.16
8.53
8.07
8.18
8.06
8.24
8.21
8.09
8.21
8
8.1
Male
Male
Female
Female
Male
Female
Female
Female
Female
Male
Female
Female
Male
Female
Male
Female
Female
Female
Male
Female
Male
Female
Male
Female
Male
Male
Female
Female
Female
Female
Male
Male
Male
Female
Male
Male
Male
Female
Female
Female
Male
Female
Male
Female
Male
Male
Female
Male
Female
Male
0.65
0.65
0.65
0.65
0.65
0.65
0.65
0.65
0.65
0.66
0.66
0.66
0.66
0.66
0.66
0.66
0.66
0.66
0.67
0.67
0.67
0.67
0.67
0.67
0.67
0.67
0.67
0.67
0.67
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.69
0.69
0.69
0.69
0.69
0.69
0.69
0.69
309
302
311
317
322
308
315
309
302
317
317
310
310
308
319
305
315
312
318
305
304
301
315
301
312
318
316
308
307
308
318
304
317
312
299
301
311
317
301
301
319
301
316
321
298
312
312
295
306
316
98
103
100
103
91
92
92
96
100
100
97
94
92
98
95
104
100
102
103
93
91
101
100
99
97
101
93
96
90
104
97
94
95
101
99
102
96
92
92
92
104
91
96
101
95
101
100
95
103
98
1
1
3
2
2
2
4
5
4
1
2
1
2
2
1
5
2
3
4
1
4
3
2
2
5
1
2
4
3
5
2
5
3
1
4
5
5
5
1
1
1
5
3
4
4
4
4
1
2
1
8.26
8.33
7.98
8.15
8.45
8.07
8.1
8.18
8.5
8.7
8.28
9.04
8.02
8.49
8.76
8.13
8.34
8.46
8.5
8.23
8.73
8.04
8.33
8.03
8.78
8.54
8.15
7.95
8.12
7.9
9.22
8.64
8.56
8.04
7.88
8.12
8.64
8.57
7.89
8.13
8.37
8.45
8.78
8.68
8.54
8.27
8.53
7.86
8.36
8.74
Female
Female
Male
Male
Female
Male
Male
Male
Female
Female
Male
Male
Male
Male
Male
Female
Female
Female
Female
Male
Female
Male
Male
Male
Female
Female
Male
Male
Male
Female
Female
Female
Female
Female
Male
Female
Female
Female
Male
Female
Female
Female
Male
Female
Female
Female
Female
Female
Female
Male
0.69
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
312
325
322
315
311
310
314
316
308
324
320
308
314
311
322
327
309
316
300
305
308
318
311
318
312
313
305
319
311
318
312
310
316
310
314
318
304
316
324
329
315
320
309
316
313
315
316
312
306
314
103
104
101
100
100
100
93
100
95
95
96
92
98
94
94
100
99
104
101
99
105
101
98
103
93
90
104
91
104
104
90
97
99
103
93
100
93
99
91
102
92
91
104
100
105
93
91
93
95
95
4
4
4
5
1
5
5
5
5
1
5
3
4
2
5
4
1
1
5
4
2
5
5
2
1
4
1
4
3
3
5
2
1
4
4
1
1
4
3
4
5
3
3
3
3
1
2
4
2
2
8.53
8.4
8
8.34
8.43
8.37
8.76
9
8.36
8.79
8.62
8.6
7.64
8.34
8.46
8.84
8.56
8.16
8.16
8.42
8.45
8.67
8.48
8.54
8.09
8.68
8.65
8.54
8.43
8.65
8.57
8.65
8.54
8.01
8.73
8.49
7.92
8
8.1
8.56
8.42
8.56
8.12
8.32
8.69
8.46
8.73
8.45
8.22
8.27
Male
Female
Female
Female
Female
Female
Male
Female
Male
Male
Female
Female
Male
Male
Female
Male
Female
Male
Female
Female
Male
Male
Female
Female
Female
Male
Female
Female
Female
Female
Female
Male
Male
Female
Female
Female
Male
Male
Female
Male
Male
Female
Female
Male
Female
Female
Female
Male
Female
Female
0.72
0.72
0.72
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.76
0.76
0.76
0.76
0.76
0.76
0.76
0.76
0.76
319
310
321
307
306
310
317
313
314
323
323
311
312
325
317
319
322
320
319
317
312
327
314
327
316
326
312
319
320
321
318
320
311
321
315
314
316
325
317
308
312
324
322
313
319
312
313
324
325
309
92
100
97
99
91
103
104
102
102
96
95
91
97
92
104
101
105
102
102
95
95
91
95
98
101
100
95
100
95
100
91
100
100
90
101
96
96
93
98
99
103
100
97
92
90
94
102
104
104
96
5
5
1
3
1
5
5
2
2
2
1
4
3
2
5
5
2
2
3
5
5
2
2
2
1
2
3
2
4
4
1
5
2
2
3
4
4
3
4
2
1
3
4
1
3
2
5
3
5
5
8.79
8.24
8.35
8.27
8.26
8.33
8.54
8.65
8.17
8.55
8.44
8.12
8.65
8.67
8.12
8.67
9.02
8.78
8.76
7.89
8.43
8.3
8.9
8.72
8.76
9.05
8.42
8.33
8.57
8.8
8.27
8.34
8.13
8.2
8.48
8.8
8.56
8.76
8.5
8.21
8.46
8.87
8.8
8.3
8.66
8.45
8.75
8.79
9.04
8.56
Male
Female
Female
Female
Female
Female
Female
Female
Male
Male
Female
Female
Male
Female
Male
Female
Male
Male
Female
Female
Male
Male
Male
Female
Male
Female
Male
Female
Female
Female
Male
Female
Female
Female
Male
Female
Male
Male
Female
Male
Male
Female
Male
Female
Female
Female
Female
Female
Female
Female
0.76
0.76
0.76
0.76
0.76
0.77
0.77
0.77
0.77
0.77
0.77
0.77
0.77
0.77
0.77
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.8
0.8
0.8
0.8
310
320
320
327
322
303
312
316
321
326
308
313
317
321
319
328
327
334
328
319
318
322
307
324
322
311
322
324
318
323
323
323
311
324
325
307
313
323
324
326
327
321
332
315
325
327
322
326
325
326
90
99
95
96
99
91
102
93
95
103
104
95
95
93
96
94
94
101
93
98
95
100
99
94
103
102
94
103
91
93
93
104
97
98
104
96
98
104
104
97
100
93
101
99
96
99
105
96
97
92
2
1
1
1
4
2
3
5
2
4
1
3
3
5
4
3
1
4
5
4
4
3
1
4
4
1
4
2
1
2
5
1
4
4
3
5
1
5
3
4
1
4
1
2
5
3
2
5
5
5
8.67
8.74
8.44
8.75
8.62
8.65
8.69
8.76
8.83
8.76
8.34
8.9
8.76
8.95
8.66
9.1
8.4
8
9.16
8.71
9.12
8.97
8.52
8.64
8.96
9
8.84
8.94
8.78
8.48
8.88
8.78
8.26
8.75
9.06
8.37
9
9.1
8.8
8.76
8.77
8.54
8.66
9.13
8.96
9.14
8.67
9.08
8.96
8.89
Female
Male
Female
Male
Male
Female
Male
Male
Male
Male
Male
Female
Male
Female
Female
Male
Male
Female
Female
Female
Female
Female
Male
Male
Female
Male
Female
Male
Female
Male
Male
Male
Male
Male
Female
Female
Male
Female
Male
Female
Female
Male
Male
Female
Female
Male
Male
Male
Female
Female
0.8
0.8
0.8
0.8
0.8
0.8
0.8
0.8
0.8
0.81
0.81
0.81
0.81
0.81
0.81
0.81
0.81
0.81
0.82
0.82
0.82
0.82
0.82
0.82
0.82
0.82
0.82
0.83
0.83
0.83
0.83
0.84
0.84
0.84
0.84
0.84
0.84
0.84
0.84
0.84
0.84
0.84
0.85
0.85
0.85
0.85
0.85
0.85
0.86
0.86
324
317
321
325
327
324
327
312
321
320
329
328
312
326
323
324
321
323
321
314
319
328
324
314
324
324
320
326
327
325
328
327
314
326
329
317
324
328
326
325
320
327
323
320
321
325
321
322
329
331
96
94
96
103
96
95
95
100
99
103
94
105
98
100
92
102
94
94
100
99
92
93
105
93
101
98
90
102
96
105
92
93
91
91
92
97
96
103
102
102
101
95
94
102
94
98
99
96
97
94
3
1
1
5
4
5
1
1
4
3
5
5
5
3
5
5
5
4
5
3
2
2
1
4
4
4
1
1
5
1
1
4
2
4
3
5
4
3
5
5
5
3
5
5
1
4
2
4
2
5
8.87
9.11
8.9
9
8.69
8.77
8.66
9.02
9.01
8.64
9.01
9.02
8.79
9.14
8.74
8.66
8.44
8.88
8.85
8.77
9.04
9.14
9.01
9.02
9.15
9.04
8.86
9.11
9.14
9.11
8.77
9
9.04
9.1
9.15
8.68
8.97
9.18
9.12
9.11
8.97
9.04
9.32
8.87
9.13
9.17
9.12
8.64
9.3
8.96
Male
Female
Female
Female
Male
Male
Female
Female
Male
Male
Female
Male
Female
Female
Female
Male
Female
Female
Female
Female
Male
Female
Male
Male
Male
Female
Male
Female
Male
Male
Female
Male
Female
Male
Male
Male
Male
Male
Male
Female
Male
Male
Female
Male
Male
Male
Female
Female
Female
Male
0.86
0.86
0.86
0.86
0.86
0.86
0.86
0.86
0.87
0.87
0.87
0.87
0.87
0.87
0.87
0.87
0.88
0.88
0.88
0.88
0.89
0.89
0.89
0.89
0.89
0.89
0.89
0.89
0.89
0.89
0.89
0.9
0.9
0.9
0.9
0.9
0.9
0.9
0.9
0.9
0.91
0.91
0.91
0.91
0.91
0.91
0.91
0.91
0.91
0.91
321
322
322
329
320
330
324
326
332
329
321
323
327
321
320
332
320
322
312
326
339
333
334
323
327
329
324
324
329
324
329
330
340
332
332
329
324
331
330
327
338
326
338
322
330
338
330
330
325
328
112
110
114
114
120
114
112
114
117
111
111
110
108
114
110
108
110
110
112
111
119
113
117
113
113
113
114
110
111
113
113
115
114
119
118
119
111
119
114
106
118
113
117
112
113
115
116
116
114
116
5
4
5
5
3
4
4
4
4
4
4
5
5
5
5
5
5
5
5
5
5
5
5
4
4
5
5
3
4
4
4
5
5
4
2
4
5
4
3
4
4
5
4
4
5
5
4
4
5
5
9.06
9.13
8.94
9.19
9.11
9.17
9.22
9.16
9.1
9.18
8.97
8.98
9.13
9.16
9.27
9.02
9.2
9.1
9.08
9.23
9.7
9.28
9.07
9.23
9.11
9.45
9.08
9.22
9.23
9.25
9.36
9.34
9.6
9.24
9.36
9.16
9.16
9.34
9.24
9.48
9.4
9.4
9.46
9.26
9.31
9.23
9.45
9.23
9.46
9.08
Female
Male
Female
Male
Female
Female
Female
Female
Male
Female
Female
Female
Male
Female
Female
Female
Male
Female
Male
Female
Male
Female
Male
Male
Male
Female
Male
Female
Male
Male
Female
Male
Female
Male
Female
Female
Female
Male
Female
Female
Male
Female
Female
Male
Male
Female
Female
Female
Female
Male
0.92
0.92
0.92
0.92
0.92
0.92
0.92
0.92
0.92
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.95
0.95
0.95
0.95
0.95
0.96
0.96
0.96
0.96
0.96
0.96
0.96
0.96
0.97
0.97
0.97
337
320
322
333
331
336
323
331
324
321
331
334
335
331
330
335
331
334
327
328
330
328
340
331
332
340
335
334
332
336
331
340
332
334
334
338
336
333
340
336
340
339
339
333
340
335
337
336
340
340
118
110
115
118
115
118
111
116
113
111
116
114
118
115
116
115
116
116
118
116
120
116
120
112
118
115
117
119
116
104
117
112
118
119
119
120
119
117
115
112
120
114
116
119
113
117
117
119
120
113
4
5
5
5
5
5
5
4
5
5
5
4
5
5
5
4
5
4
4
4
5
5
5
5
5
5
5
5
5
5
4
4
5
5
5
4
4
4
5
5
4
5
4
5
4
5
5
5
4
5
9.65
9.22
9.36
9.35
9.44
9.19
9.86
9.44
9.25
9.52
9.38
9.43
9.44
9.36
9.36
9.68
9.26
9.54
9.67
9.6
9.56
9.5
9.6
9.8
9.64
9.45
9.56
9.48
9.28
9.56
9.42
9.66
9.47
9.54
9.7
9.66
9.62
9.66
9.06
9.76
9.5
9.76
9.8
9.78
9.74
9.82
9.87
9.8
9.92
9.91
Male
Male
Male
Male
Male
Male
Female
Female
Female
Female
Female
Female
Male
Male
Female
Male
Male
Female
Female
Female
Male
Female
Female
Male
Male
Female
Female
Male
Female
Male
Female
Male
Male
Male
Female
Male
Male
Male
Male
Male
Male
Male
Male
Female
Female
Male
Male
Male
Female
Female
0.97
334
120
5
9.87
Male
Award Level
credit
pass
pass
credit
credit
credit
credit
credit
credit
pass
pass
pass
credit
credit
credit
credit
distinction
pass
pass
pass
credit
credit
pass
credit
credit
pass
pass
credit
credit
credit
credit
credit
credit
credit
pass
credit
credit
credit
credit
credit
credit
credit
credit
distinction
credit
credit
pass
credit
distinction
pass
credit
credit
credit
credit
pass
credit
credit
credit
credit
credit
credit
distinction
credit
credit
distinction
distinction
credit
distinction
credit
credit
distinction
credit
credit
credit
credit
credit
pass
pass
credit
credit
credit
credit
credit
credit
credit
credit
credit
pass
credit
credit
distinction
credit
credit
credit
credit
credit
credit
distinction
distinction
credit
credit
credit
credit
credit
credit
credit
credit
credit
distinction
credit
credit
credit
credit
credit
credit
pass
credit
credit
credit
credit
distinction
credit
credit
distinction
credit
credit
credit
credit
credit
credit
pass
credit
credit
credit
credit
distinction
credit
credit
credit
distinction
credit
credit
credit
credit
credit
credit
credit
credit
pass
credit
credit
credit
credit
credit
credit
credit
credit
credit
distinction
credit
distinction
credit
credit
distinction
credit
credit
credit
distinction
credit
distinction
credit
credit
credit
distinction
distinction
credit
credit
credit
credit
high distinction
distinction
distinction
credit
credit
credit
distinction
distinction
credit
credit
credit
credit
distinction
distinction
distinction
credit
distinction
credit
credit
distinction
distinction
credit
credit
credit
credit
credit
distinction
distinction
credit
distinction
distinction
distinction
credit
credit
credit
distinction
distinction
credit
credit
credit
credit
distinction
credit
distinction
credit
distinction
distinction
distinction
credit
distinction
distinction
distinction
distinction
credit
distinction
credit
credit
credit
credit
distinction
credit
distinction
credit
credit
distinction
credit
distinction
credit
credit
credit
distinction
credit
credit
credit
credit
credit
distinction
distinction
credit
distinction
distinction
credit
distinction
distinction
credit
distinction
distinction
distinction
distinction
credit
credit
credit
distinction
distinction
distinction
distinction
credit
credit
distinction
distinction
credit
credit
credit
credit
credit
distinction
distinction
distinction
distinction
credit
credit
distinction
distinction
credit
distinction
credit
distinction
distinction
distinction
distinction
distinction
distinction
credit
distinction
distinction
distinction
distinction
distinction
distinction
distinction
credit
distinction
distinction
distinction
distinction
distinction
credit
credit
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
credit
distinction
distinction
credit
distinction
distinction
credit
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
credit
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
distinction
high distinction
distinction
distinction
high distinction
distinction
high distinction
distinction
high distinction
high distinction
high distinction
high distinction
high distinction
distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
Original Process
X – Number of Defective Items
0
1
2
3
4
Number of Days
75
180
150
90
65
X – Number of Defective Items
0
1
2
3
4
Probability
0.15
0.35
0.175
??
0.1
New Process
5
40
5
0.1
BSB123 Data Analysis
Take Home Assessment 2
Probability and Introduction to Probability Distributions
For this problem please use the Excel file THA 2 (2022-01).xls
Show all formulas and calculations. If you do the calculations in Excel please copy across the
relevant Table/Output
Question One (10 Marks)
The data for this question relates to information provided in THA 1 on international student admissions to graduate programs
in the USA. Data is the same with one additional variable
• GRE Score – an admissions test which provides a score between 260 and 340.
• TOEFL – an English language test score out of 120
• University Rating – 1 to 5 with 1 highest rating
• CGPA – Cumulative Grade Point Average out of 10
• Gender
• Level of Award – Student achievement rating (Pass, Credit, Distinction or High Distinction)
a.
b.
Use a pivot table to construct both a cross tabulation and a joint probability table for the two variables University Rating
and Student Achievement Rating (Level of Award)
Calculate the following probabilities showing rules and calculations:
I.
A student comes from a Rating 4 university and achieved a Distinction Rating.
II.
A student comes from a Rating 2 university or achieved a pass rating.
III.
Given a student came from a Rating 1 university that they achieved a High Distinction
IV.
Given a student achieved a high distinction that they came from a rating one university.
V.
Using data from the Rating 3 universities and the students who achieved a Pass can you say that the two
variables University Rating and Level of Award are independent? (Check: you should get a value of 0.006)
VI.
That a student who was NOT a high distinction student came from a rating 2 university
Question Two (8 Marks)
A company has been running a particular manufacturing process for 3 years and has accumulated a large amount of
data on the number of defective items produced each day. Data from 600 days of production gives the number of
defective items per day:
X – Number of Defective Items
Number of Days
a.
b.
c.
d.
0
75
1
180
2
150
3
90
4
65
5
40
Convert the data to a probability distribution
What is the probability that there are between 2 and 4 defective items inclusive in one day
What is the expected number of defective items per day
What is the standard deviation of the number of defective items per day (Check: 1.408)
The company has been approached to purchase a new process. The supplier is promoting that the new process will
produce fewer defectives on average and has provided the following probability distribution as evidence
BSB123 Data Analysis
X – Number of Defective Items
Probability
e.
f.
0
0.15
1
0.35
2
0.175
3
??
4
0.1
5
0.1
Calculate the Expected Value and Standard Deviation of the number of defectives for the new process
Does this data support the suppliers claim that the process is better. Use both the expected value and the standard
Question Three (2 marks)
90% of all Data Analysis students who complete all of the THA’s pass the subject. Unfortunately only 50% of students do
all of the THA’s. Overall 80% of students pass Data Analysis. What is the probability that a student who did not complete
all of the THA’s will fail Data Analysis?
Submission Instructions:
1. Submit your THA as a single document in pdf format via Blackboard. Please use the title:
THA2.pdf
2.
Due: 10th April, 2021 (Sunday) 11:59 pm
BSB123 Data Analysis
0.34
0.34
0.36
0.36
0.37
0.38
0.38
0.39
0.42
0.42
0.42
0.42
0.43
0.44
0.44
0.44
0.45
0.45
0.45
0.46
0.46
0.46
0.46
0.46
0.47
0.47
0.47
0.47
0.47
0.48
0.48
0.48
0.49
0.49
0.49
0.49
0.49
0.5
0.5
0.51
0.51
0.52
0.52
0.52
0.52
0.52
0.52
0.52
0.53
GRE Score
298
297
275
303
295
299
304
315
311
304
299
299
297
298
296
301
323
290
298
280
308
298
294
302
307
296
295
304
290
307
309
306
316
294
316
296
317
302
312
298
299
325
304
325
297
312
302
316
313
TOEFL Score
98
91
94
94
97
100
98
98
92
95
94
102
95
96
96
104
103
95
103
96
105
98
103
101
98
92
92
96
97
99
98
96
100
100
103
99
92
98
99
99
92
91
94
100
99
95
103
100
99
University Rating
2
2
1
3
1
3
2
2
2
4
1
3
2
2
2
2
3
4
2
1
3
2
1
2
3
2
2
2
1
2
2
2
2
1
1
2
3
1
3
1
2
3
1
3
1
1
3
3
2
CGPA
8.03
7.43
6.8
7.66
7.57
7.66
7.66
7.65
8.3
7.84
7.34
7.42
7.89
7.5
7.54
7.88
8.6
7.46
7.21
7.2
8
7.6
7.36
7.96
8.2
7.28
7.34
7.64
7.56
7.7
8.1
8
8.2
7.64
7.43
7.8
7.94
8
8.02
7.88
7.88
8.4
7.5
8.7
7.9
8.01
7.45
7.68
8.5
Gender
Male
Male
Female
Female
Male
Female
Male
Male
Male
Male
Female
Female
Female
Female
Male
Female
Male
Male
Female
Male
Female
Female
Female
Male
Male
Female
Male
Female
Male
Male
Male
Female
Female
Female
Female
Male
Female
Female
Male
Male
Female
Male
Female
Female
Male
Female
Male
Male
Female
0.53
0.53
0.53
0.53
0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.55
0.55
0.56
0.56
0.56
0.56
0.56
0.56
0.56
0.57
0.57
0.57
0.57
0.57
0.57
0.57
0.57
0.57
0.57
0.58
0.58
0.58
0.58
0.58
0.58
0.58
0.58
0.59
0.59
0.59
0.59
0.59
0.59
0.59
0.6
0.6
0.61
0.61
298
307
305
298
314
310
304
299
298
301
305
297
325
309
312
315
299
300
302
303
313
316
317
310
301
315
295
302
311
297
304
300
315
307
300
308
298
308
310
311
299
305
297
314
305
300
296
309
311
327
98
100
104
96
93
93
95
102
101
95
94
105
91
98
100
103
91
92
101
92
98
93
102
104
102
104
99
98
103
94
99
94
102
90
99
98
104
100
94
105
102
99
105
95
104
97
99
92
92
98
1
2
2
4
3
2
2
2
2
1
4
4
4
2
2
2
3
2
2
1
2
2
2
4
4
1
2
1
1
3
3
1
1
2
1
3
3
2
1
3
1
2
2
4
2
3
1
2
1
2
7.46
8.1
7.79
7.69
8.3
7.3
8.2
7.86
7.86
7.56
8.26
7.81
8.92
7.68
7.9
8.5
8.62
7.87
7.97
7.65
8.13
8.64
8.47
8.36
8.47
7.86
7.65
7.25
7.46
7.67
7.86
7.8
7.95
7.65
8.01
8.24
7.95
7.98
7.23
8.45
7.89
8.13
7.67
7.88
7.64
7.88
7.68
8.03
8.2
9.02
Male
Female
Female
Female
Male
Male
Female
Female
Male
Female
Female
Female
Female
Female
Female
Female
Male
Male
Female
Female
Male
Male
Female
Female
Female
Male
Female
Female
Male
Male
Male
Female
Male
Male
Male
Female
Male
Male
Female
Female
Male
Male
Female
Female
Male
Female
Female
Male
Female
Male
0.61
0.61
0.61
0.61
0.61
0.61
0.61
0.61
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.62
0.63
0.63
0.63
0.63
0.63
0.63
0.63
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.64
0.65
0.65
0.65
305
308
306
296
316
322
300
317
307
303
314
301
309
313
305
313
300
311
307
304
300
318
315
306
314
299
300
304
312
299
320
316
301
314
318
312
300
313
293
305
312
304
312
303
314
306
311
314
319
300
103
98
98
99
99
100
94
95
90
101
96
98
90
92
105
102
101
104
90
104
102
94
96
96
99
91
91
91
95
91
90
104
102
98
91
97
102
93
94
103
93
96
95
94
93
95
93
102
101
105
5
2
1
2
1
4
2
2
1
5
5
5
5
4
3
4
5
1
3
2
3
3
2
3
2
1
5
3
3
2
5
2
4
4
4
3
2
2
3
5
2
2
4
3
1
4
2
4
3
5
8.48
8.22
8.14
8.03
8.32
8.02
8.02
7.65
8
8.5
8.25
8.34
8
8.43
8.18
8.04
8.26
7.64
7.94
8.12
8.22
8.8
7.89
8.45
8.56
8.02
8.17
8.22
7.9
8.4
7.7
7.4
8.22
8.14
7.92
8.12
8.66
8.27
7.8
8.16
8.53
8.07
8.18
8.06
8.24
8.21
8.09
8.21
8
8.1
Male
Male
Female
Female
Male
Female
Female
Female
Female
Male
Female
Female
Male
Female
Male
Female
Female
Female
Male
Female
Male
Female
Male
Female
Male
Male
Female
Female
Female
Female
Male
Male
Male
Female
Male
Male
Male
Female
Female
Female
Male
Female
Male
Female
Male
Male
Female
Male
Female
Male
0.65
0.65
0.65
0.65
0.65
0.65
0.65
0.65
0.65
0.66
0.66
0.66
0.66
0.66
0.66
0.66
0.66
0.66
0.67
0.67
0.67
0.67
0.67
0.67
0.67
0.67
0.67
0.67
0.67
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.68
0.69
0.69
0.69
0.69
0.69
0.69
0.69
0.69
309
302
311
317
322
308
315
309
302
317
317
310
310
308
319
305
315
312
318
305
304
301
315
301
312
318
316
308
307
308
318
304
317
312
299
301
311
317
301
301
319
301
316
321
298
312
312
295
306
316
98
103
100
103
91
92
92
96
100
100
97
94
92
98
95
104
100
102
103
93
91
101
100
99
97
101
93
96
90
104
97
94
95
101
99
102
96
92
92
92
104
91
96
101
95
101
100
95
103
98
1
1
3
2
2
2
4
5
4
1
2
1
2
2
1
5
2
3
4
1
4
3
2
2
5
1
2
4
3
5
2
5
3
1
4
5
5
5
1
1
1
5
3
4
4
4
4
1
2
1
8.26
8.33
7.98
8.15
8.45
8.07
8.1
8.18
8.5
8.7
8.28
9.04
8.02
8.49
8.76
8.13
8.34
8.46
8.5
8.23
8.73
8.04
8.33
8.03
8.78
8.54
8.15
7.95
8.12
7.9
9.22
8.64
8.56
8.04
7.88
8.12
8.64
8.57
7.89
8.13
8.37
8.45
8.78
8.68
8.54
8.27
8.53
7.86
8.36
8.74
Female
Female
Male
Male
Female
Male
Male
Male
Female
Female
Male
Male
Male
Male
Male
Female
Female
Female
Female
Male
Female
Male
Male
Male
Female
Female
Male
Male
Male
Female
Female
Female
Female
Female
Male
Female
Female
Female
Male
Female
Female
Female
Male
Female
Female
Female
Female
Female
Female
Male
0.69
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.7
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.71
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
0.72
312
325
322
315
311
310
314
316
308
324
320
308
314
311
322
327
309
316
300
305
308
318
311
318
312
313
305
319
311
318
312
310
316
310
314
318
304
316
324
329
315
320
309
316
313
315
316
312
306
314
103
104
101
100
100
100
93
100
95
95
96
92
98
94
94
100
99
104
101
99
105
101
98
103
93
90
104
91
104
104
90
97
99
103
93
100
93
99
91
102
92
91
104
100
105
93
91
93
95
95
4
4
4
5
1
5
5
5
5
1
5
3
4
2
5
4
1
1
5
4
2
5
5
2
1
4
1
4
3
3
5
2
1
4
4
1
1
4
3
4
5
3
3
3
3
1
2
4
2
2
8.53
8.4
8
8.34
8.43
8.37
8.76
9
8.36
8.79
8.62
8.6
7.64
8.34
8.46
8.84
8.56
8.16
8.16
8.42
8.45
8.67
8.48
8.54
8.09
8.68
8.65
8.54
8.43
8.65
8.57
8.65
8.54
8.01
8.73
8.49
7.92
8
8.1
8.56
8.42
8.56
8.12
8.32
8.69
8.46
8.73
8.45
8.22
8.27
Male
Female
Female
Female
Female
Female
Male
Female
Male
Male
Female
Female
Male
Male
Female
Male
Female
Male
Female
Female
Male
Male
Female
Female
Female
Male
Female
Female
Female
Female
Female
Male
Male
Female
Female
Female
Male
Male
Female
Male
Male
Female
Female
Male
Female
Female
Female
Male
Female
Female
0.72
0.72
0.72
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.73
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.74
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.76
0.76
0.76
0.76
0.76
0.76
0.76
0.76
0.76
319
310
321
307
306
310
317
313
314
323
323
311
312
325
317
319
322
320
319
317
312
327
314
327
316
326
312
319
320
321
318
320
311
321
315
314
316
325
317
308
312
324
322
313
319
312
313
324
325
309
92
100
97
99
91
103
104
102
102
96
95
91
97
92
104
101
105
102
102
95
95
91
95
98
101
100
95
100
95
100
91
100
100
90
101
96
96
93
98
99
103
100
97
92
90
94
102
104
104
96
5
5
1
3
1
5
5
2
2
2
1
4
3
2
5
5
2
2
3
5
5
2
2
2
1
2
3
2
4
4
1
5
2
2
3
4
4
3
4
2
1
3
4
1
3
2
5
3
5
5
8.79
8.24
8.35
8.27
8.26
8.33
8.54
8.65
8.17
8.55
8.44
8.12
8.65
8.67
8.12
8.67
9.02
8.78
8.76
7.89
8.43
8.3
8.9
8.72
8.76
9.05
8.42
8.33
8.57
8.8
8.27
8.34
8.13
8.2
8.48
8.8
8.56
8.76
8.5
8.21
8.46
8.87
8.8
8.3
8.66
8.45
8.75
8.79
9.04
8.56
Male
Female
Female
Female
Female
Female
Female
Female
Male
Male
Female
Female
Male
Female
Male
Female
Male
Male
Female
Female
Male
Male
Male
Female
Male
Female
Male
Female
Female
Female
Male
Female
Female
Female
Male
Female
Male
Male
Female
Male
Male
Female
Male
Female
Female
Female
Female
Female
Female
Female
0.76
0.76
0.76
0.76
0.76
0.77
0.77
0.77
0.77
0.77
0.77
0.77
0.77
0.77
0.77
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.78
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.79
0.8
0.8
0.8
0.8
310
320
320
327
322
303
312
316
321
326
308
313
317
321
319
328
327
334
328
319
318
322
307
324
322
311
322
324
318
323
323
323
311
324
325
307
313
323
324
326
327
321
332
315
325
327
322
326
325
326
90
99
95
96
99
91
102
93
95
103
104
95
95
93
96
94
94
101
93
98
95
100
99
94
103
102
94
103
91
93
93
104
97
98
104
96
98
104
104
97
100
93
101
99
96
99
105
96
97
92
2
1
1
1
4
2
3
5
2
4
1
3
3
5
4
3
1
4
5
4
4
3
1
4
4
1
4
2
1
2
5
1
4
4
3
5
1
5
3
4
1
4
1
2
5
3
2
5
5
5
8.67
8.74
8.44
8.75
8.62
8.65
8.69
8.76
8.83
8.76
8.34
8.9
8.76
8.95
8.66
9.1
8.4
8
9.16
8.71
9.12
8.97
8.52
8.64
8.96
9
8.84
8.94
8.78
8.48
8.88
8.78
8.26
8.75
9.06
8.37
9
9.1
8.8
8.76
8.77
8.54
8.66
9.13
8.96
9.14
8.67
9.08
8.96
8.89
Female
Male
Female
Male
Male
Female
Male
Male
Male
Male
Male
Female
Male
Female
Female
Male
Male
Female
Female
Female
Female
Female
Male
Male
Female
Male
Female
Male
Female
Male
Male
Male
Male
Male
Female
Female
Male
Female
Male
Female
Female
Male
Male
Female
Female
Male
Male
Male
Female
Female
0.8
0.8
0.8
0.8
0.8
0.8
0.8
0.8
0.8
0.81
0.81
0.81
0.81
0.81
0.81
0.81
0.81
0.81
0.82
0.82
0.82
0.82
0.82
0.82
0.82
0.82
0.82
0.83
0.83
0.83
0.83
0.84
0.84
0.84
0.84
0.84
0.84
0.84
0.84
0.84
0.84
0.84
0.85
0.85
0.85
0.85
0.85
0.85
0.86
0.86
324
317
321
325
327
324
327
312
321
320
329
328
312
326
323
324
321
323
321
314
319
328
324
314
324
324
320
326
327
325
328
327
314
326
329
317
324
328
326
325
320
327
323
320
321
325
321
322
329
331
96
94
96
103
96
95
95
100
99
103
94
105
98
100
92
102
94
94
100
99
92
93
105
93
101
98
90
102
96
105
92
93
91
91
92
97
96
103
102
102
101
95
94
102
94
98
99
96
97
94
3
1
1
5
4
5
1
1
4
3
5
5
5
3
5
5
5
4
5
3
2
2
1
4
4
4
1
1
5
1
1
4
2
4
3
5
4
3
5
5
5
3
5
5
1
4
2
4
2
5
8.87
9.11
8.9
9
8.69
8.77
8.66
9.02
9.01
8.64
9.01
9.02
8.79
9.14
8.74
8.66
8.44
8.88
8.85
8.77
9.04
9.14
9.01
9.02
9.15
9.04
8.86
9.11
9.14
9.11
8.77
9
9.04
9.1
9.15
8.68
8.97
9.18
9.12
9.11
8.97
9.04
9.32
8.87
9.13
9.17
9.12
8.64
9.3
8.96
Male
Female
Female
Female
Male
Male
Female
Female
Male
Male
Female
Male
Female
Female
Female
Male
Female
Female
Female
Female
Male
Female
Male
Male
Male
Female
Male
Female
Male
Male
Female
Male
Female
Male
Male
Male
Male
Male
Male
Female
Male
Male
Female
Male
Male
Male
Female
Female
Female
Male
0.86
0.86
0.86
0.86
0.86
0.86
0.86
0.86
0.87
0.87
0.87
0.87
0.87
0.87
0.87
0.87
0.88
0.88
0.88
0.88
0.89
0.89
0.89
0.89
0.89
0.89
0.89
0.89
0.89
0.89
0.89
0.9
0.9
0.9
0.9
0.9
0.9
0.9
0.9
0.9
0.91
0.91
0.91
0.91
0.91
0.91
0.91
0.91
0.91
0.91
321
322
322
329
320
330
324
326
332
329
321
323
327
321
320
332
320
322
312
326
339
333
334
323
327
329
324
324
329
324
329
330
340
332
332
329
324
331
330
327
338
326
338
322
330
338
330
330
325
328
112
110
114
114
120
114
112
114
117
111
111
110
108
114
110
108
110
110
112
111
119
113
117
113
113
113
114
110
111
113
113
115
114
119
118
119
111
119
114
106
118
113
117
112
113
115
116
116
114
116
5
4
5
5
3
4
4
4
4
4
4
5
5
5
5
5
5
5
5
5
5
5
5
4
4
5
5
3
4
4
4
5
5
4
2
4
5
4
3
4
4
5
4
4
5
5
4
4
5
5
9.06
9.13
8.94
9.19
9.11
9.17
9.22
9.16
9.1
9.18
8.97
8.98
9.13
9.16
9.27
9.02
9.2
9.1
9.08
9.23
9.7
9.28
9.07
9.23
9.11
9.45
9.08
9.22
9.23
9.25
9.36
9.34
9.6
9.24
9.36
9.16
9.16
9.34
9.24
9.48
9.4
9.4
9.46
9.26
9.31
9.23
9.45
9.23
9.46
9.08
Female
Male
Female
Male
Female
Female
Female
Female
Male
Female
Female
Female
Male
Female
Female
Female
Male
Female
Male
Female
Male
Female
Male
Male
Male
Female
Male
Female
Male
Male
Female
Male
Female
Male
Female
Female
Female
Male
Female
Female
Male
Female
Female
Male
Male
Female
Female
Female
Female
Male
0.92
0.92
0.92
0.92
0.92
0.92
0.92
0.92
0.92
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.93
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.94
0.95
0.95
0.95
0.95
0.95
0.96
0.96
0.96
0.96
0.96
0.96
0.96
0.96
0.97
0.97
0.97
337
320
322
333
331
336
323
331
324
321
331
334
335
331
330
335
331
334
327
328
330
328
340
331
332
340
335
334
332
336
331
340
332
334
334
338
336
333
340
336
340
339
339
333
340
335
337
336
340
340
118
110
115
118
115
118
111
116
113
111
116
114
118
115
116
115
116
116
118
116
120
116
120
112
118
115
117
119
116
104
117
112
118
119
119
120
119
117
115
112
120
114
116
119
113
117
117
119
120
113
4
5
5
5
5
5
5
4
5
5
5
4
5
5
5
4
5
4
4
4
5
5
5
5
5
5
5
5
5
5
4
4
5
5
5
4
4
4
5
5
4
5
4
5
4
5
5
5
4
5
9.65
9.22
9.36
9.35
9.44
9.19
9.86
9.44
9.25
9.52
9.38
9.43
9.44
9.36
9.36
9.68
9.26
9.54
9.67
9.6
9.56
9.5
9.6
9.8
9.64
9.45
9.56
9.48
9.28
9.56
9.42
9.66
9.47
9.54
9.7
9.66
9.62
9.66
9.06
9.76
9.5
9.76
9.8
9.78
9.74
9.82
9.87
9.8
9.92
9.91
Male
Male
Male
Male
Male
Male
Female
Female
Female
Female
Female
Female
Male
Male
Female
Male
Male
Female
Female
Female
Male
Female
Female
Male
Male
Female
Female
Male
Female
Male
Female
Male
Male
Male
Female
Male
Male
Male
Male
Male
Male
Male
Male
Female
Female
Male
Male
Male
Female
Female
0.97
334
120
5
9.87
Male
Award Level
credit
pass
pass
credit
credit
credit
credit
credit
credit
pass
pass
pass
credit
credit
credit
credit
distinction
pass
pass
pass
credit
credit
pass
credit
credit
pass
pass
credit
credit
credit
credit
credit
credit
credit
pass
credit
credit
credit
credit
credit
credit
credit
credit
distinction
credit
credit
pass
credit
distinction
pass
credit
credit
credit
credit
pass
credit
credit
credit
credit
credit
credit
distinction
credit
credit
distinction
distinction
credit
distinction
credit
credit
distinction
credit
credit
credit
credit
credit
pass
pass
credit
credit
credit
credit
credit
credit
credit
credit
credit
pass
credit
credit
distinction
credit
credit
credit
credit
credit
credit
distinction
distinction
credit
credit
credit
credit
credit
credit
credit
credit
credit
distinction
credit
credit
credit
credit
credit
credit
pass
credit
credit
credit
credit
distinction
credit
credit
distinction
credit
credit
credit
credit
credit
credit
pass
credit
credit
credit
credit
distinction
credit
credit
credit
distinction
credit
credit
credit
credit
credit
credit
credit
credit
pass
credit
credit
credit
credit
credit
credit
credit
credit
credit
distinction
credit
distinction
credit
credit
distinction
credit
credit
credit
distinction
credit
distinction
credit
credit
credit
distinction
distinction
credit
credit
credit
credit
high distinction
distinction
distinction
credit
credit
credit
distinction
distinction
credit
credit
credit
credit
distinction
distinction
distinction
credit
distinction
credit
credit
distinction
distinction
credit
credit
credit
credit
credit
distinction
distinction
credit
distinction
distinction
distinction
credit
credit
credit
distinction
distinction
credit
credit
credit
credit
distinction
credit
distinction
credit
distinction
distinction
distinction
credit
distinction
distinction
distinction
distinction
credit
distinction
credit
credit
credit
credit
distinction
credit
distinction
credit
credit
distinction
credit
distinction
credit
credit
credit
distinction
credit
credit
credit
credit
credit
distinction
distinction
credit
distinction
distinction
credit
distinction
distinction
credit
distinction
distinction
distinction
distinction
credit
credit
credit
distinction
distinction
distinction
distinction
credit
credit
distinction
distinction
credit
credit
credit
credit
credit
distinction
distinction
distinction
distinction
credit
credit
distinction
distinction
credit
distinction
credit
distinction
distinction
distinction
distinction
distinction
distinction
credit
distinction
distinction
distinction
distinction
distinction
distinction
distinction
credit
distinction
distinction
distinction
distinction
distinction
credit
credit
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
credit
distinction
distinction
credit
distinction
distinction
credit
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
credit
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
distinction
high distinction
distinction
distinction
distinction
distinction
distinction
high distinction
distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
distinction
high distinction
distinction
distinction
high distinction
distinction
high distinction
distinction
high distinction
high distinction
high distinction
high distinction
high distinction
distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
high distinction
Original Process
X – Number of Defective Items
0
1
2
3
4
Number of Days
75
180
150
90
65
X – Number of Defective Items
0
1
2
3
4
Probability
0.15
0.35
0.175
??
0.1
New Process
5
40
5
0.1