Question: Let X and Y be two independent, continuous random variables described by probability density functions fx and fy. fx(x) ~ Gamma(n + 1, 1). fr(y)

Let X and Y be two independent, continuous random variables described by probability density functions fx and fy. fx(x) ~ Gamma(n + 1, 1). fr(y) ~ p(1 - ly)) + (1-p) pe O, 1 s. t. p+ (1 - p) = 1. Given the above definitions compute the probability density function of Z = XY. The formula for the product of two distributions is the following: fz (2) = 10 fx (I) fy (z/x)

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