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

Required:
a. Find the joint probability table and the marginal probabilities.
b. What is the probability that a randomly selected employee is a man and is in favor of a four day work week?
c. What is the probability that a randomly selected employee is female?
d. A randomly selected employee turns out to be female. Compute the probability that she is in favor of flexible hours.