Question: 3. Let Z be a random variable equal to the sum of two independent random variables X and Y: Z = X + Y

3. Let Z be a random variable equal to the sum of

3. 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 fx(x)= 10 [u(x)- u(x- 10)] fr [u(y +5)-u(y- 5)] %3D 15 Find the probability density function of Z. b) What is the probability that Prob(Z s 20).

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