A company offers the basic life insurance policy to its employees, as well as a supplemental life insurance policy. To purchase the supplemental policy, an employee should first purchase the basic policy. Let X denote the proportion of employess who purchase the the basic policy, and Y the proporation of employees who purchase the supplemental policy. Let X and Y have the joint density function:
f(x,y) = 2(x+y) where 0
(A) calculate P(x<.3 and y<.2?
(B) Find the two marginal distributions?
(C) Find E(x) and E(y)?
(D) Given that 10% of the employees buy the basic policy, what is the probability that fewer than 5% buy the supplemental policy?