Agovernment 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

4 days 400 500 900

5 days 1,300 1,400 2,700

flexible 300 2,100 2,400

total 2,000 4,000 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?

g) what does the probability information tell you about the employees