Let X and Y be independent random variables with a Par (α) and Par (β) distribution. a. Take α = 3 and β = 1 and determine the probability density of Z = XY .   b. Determine the probability density of...

Let X and Y be independent random variables with a Par (α) and Par (β) distribution.

a. Take α = 3 and β = 1 and determine the probability density of Z = XY .

  b. Determine the probability density of Z = XY for general α and β.