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Question
A government agency has 6,000 employees. The employees were asked whether they preferred a four-day work week (10 hours per day), a five-day work week (8 hours per day), or flexible hours. You are given information on the employees' responses broken down by gender.| Male | Female | Total | |
| Four days | 300 | 600 | 900 |
| Five days | 1,200 | 1,500 | 2,700 |
| Flexible | 300 | 2,100 | 2,400 |
| Total | 1,800 | 4,200 | 6,000 |
a. What is the probability that a randomly selected employee is a man and is in favor of a four-day work week?
b. What is the probability that a randomly selected employee is female?
c. A randomly selected employee turns out to be female. Compute the probability that she is in favor of flexible hours.
d. What percentage of employees is in favor of a five-day work week?
e. Given that a person is in favor of flexible time, what is the probability that the person is female?
f. What percentage of employees is male and in favor of a five-day work week?
Answer
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