A corporation has A employees B percent of the employees are

A corporation has A employees. B percent of the employees are male. C percent of the employees earn more than $b a year. D percent of the employees are male and earn more than $b a year.

a. If an employee is taken at random, what is the probability that the employee is male?
b. If an employee is taken at random, what is the probability that the employee earns more than $b a year?
c. If an employee is taken at random, what is the probability that the employee is male and earns more than $b a year?
d. If an employee is taken at random, what is the probability that the employee is male or earns more than $b a year or both?
e. The employee taken at random turns out to be male. Compute the probability that he earns more than $b a year.
f. Are being male and earning more than $b a year independent?

Solution

a) B%

b) C%

c) D%

d) B% + C% + D%

e) D%/B%