A government agency has 6000 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.

a.      Calculate the overinvolment ratio (use 1 digit after decimal point) to measure effect of being female on preferring Flexible hours. 

b.      What is the probability of selecting an male employee, given that the person is prefered flexible hours?(use 3 digits after decimal point) 

c.      If we randomly select 4 employees (with replacement) who preferred Flexible hours, what is the probability that none of them are Female?(use 5 digits after decimal point) 

d.      If we randomly select 2 employees (without replacement) who preferred Flexible hours, what is the probability that none of them are Female?(use 3 digits after decimal point)