A company offers basic life insurance policy to its employees, and a supplemental life insurance policy. To buy the supplemental policy, an employee should first purchase the basic policy. Let X denote the proportion of employess who buy 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?