2 a government agency has 6000 employees the

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2. 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 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 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?

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