Question: Let Z be a random variable equal to the sum of two independent random variables X and Y: Z = X +Y The probability

Let Z be a random variable equal to the sum of two

Let Z be a random variable equal to the sum of two independent random variables X and Y: Z = X +Y The probability density functions of X and Y are given by 1 fx(x) ) = lu(x) - u(x 10)] 10 1 fy (y) = 15 [u(y + 5) u(y - 5)] a) Find the probability density function of Z. b) What is the probability that Prob(Z < 20).

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