Show transcribed image text Problem 12 Suppose that X andY are independent and each have an exponential(1) probability density function f , i.e., f(t) = e-t for t-0 and f(t) = 0 for t ã€ˆ 0. Find the cdf of z Find the pdf of Z. .

Problem 12 Suppose that X andY are independent and each have an exponential(1) probability density function f , i.e., f(t) = e-t for t-0 and f(t) = 0 for t ã€ˆ 0. Find the cdf of z Find the pdf of Z. .