Please show all work so I can learn! The following table classifies 1000 college
ID: 3436909 • Letter: P
Question
Please show all work so I can learn!
The following table classifies 1000 college graduates by area of concentration in college and type of employer for whom they went to work after graduation.
Types of Employer
Major
Public Accounting
A1
Banking & Finance
A2
Electronics
A3
Merchandising
A4
All Others
A5
Total
Accounting B1
60
15
10
5
10
100
General Business B2
20
50
10
65
5
150
Humanities B3
1
2
2
10
60
75
Social Studies B4
2
20
8
20
70
120
Engineering B5
2
5
188
5
50
250
All Others B6
30
50
55
60
110
305
Total
115
142
273
165
305
1,000
Evaluate following probabilities:
P (B3)
P (B3 and A4)
P (A4) * P (B3/A4)
P (A1 I B1)
Types of Employer
Major
Public Accounting
A1
Banking & Finance
A2
Electronics
A3
Merchandising
A4
All Others
A5
Total
Accounting B1
60
15
10
5
10
100
General Business B2
20
50
10
65
5
150
Humanities B3
1
2
2
10
60
75
Social Studies B4
2
20
8
20
70
120
Engineering B5
2
5
188
5
50
250
All Others B6
30
50
55
60
110
305
Total
115
142
273
165
305
1,000
Explanation / Answer
P(B3) = 75/1000 = 0.075
P(B3 and A4) = 10/1000 = 0.01
{P (A4) * P (B3 | A4) = P(A4 and B3) = 0.01
P(A1 | B1) = #A1 and B1 / #B1 = 60/100 = 0.6
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