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Concept explainers
(a)
Find: the
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 2RE
- 90/150
- 0.9
- 0.615
- 0.8
Explanation of Solution
Given:
Following table mention the employees by job sex and type.
Male | Female | Total | |
Management | 7 | 6 | 13 |
Supervision | 8 | 12 | 20 |
Production | 45 | 72 | 117 |
Total | 60 | 90 | 150 |
Calculation:
Suppose that
G = employee in management
S = employee in supervision
P = employee in production
M = employee is male
F = employee is female
- Probability that worker is female is
- The probability the worker is a woman or a production worker.
- Required probability is
- Required probability is
There is 90% of possibility that worker is female or production worker.
If the person works in manufacturing, there is a 61.5 percent possibility that the worker is female.
If the person is female, there is an 80 percent probability that the worker is a production worker.
(b)
To explain: this data shows that the type of work is independent of being male or female.
(b)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
Following table mention the employees by job sex and type.
Male | Female | Total | |
Management | 7 | 6 | 13 |
Supervision | 8 | 12 | 20 |
Production | 45 | 72 | 117 |
Total | 60 | 90 | 150 |
Calculation:
Suppose
Therefore, they are not independent.
Chapter PIV Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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