Suppose X exponential lambda1 and Y exponential lambda2 wh

Suppose X ~ exponential (lambda_1) and Y ~ exponential (lambda_2), where X and Y are independent and lambda_1, lambda_2 > 0. Define Z = min(X, Y) and let W = 1 if X

Solution

a) pmf of W

W = 1 if X < Y

W = 0 if otherwise

b)

distribution of Z is exponential because is the distribution of the minimum of 2 exponential distribution with landha as parameter

c) for this literal

I can gladly help you but you should post it in a new question