Solutions Probability

Solution) A government agency has 6,000 employees. The employees were asked whether they preferred a four-day

Question: A government agency has 6,000 employees. The employees were asked whether they preferred a four-day workweek (10 hours per day), a five-day workweek (8 hours per day), or flexible hours. You are given information on the employees’ responses broken down by sex.

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 workweek?

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 workweek?

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 workweek?

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