4. Suppose Y1, Y2 are independently and identically distributed with Unif((0,1)). Let Z = Y1 · Y2 and W = Yj. (a) Find the joint PDF of (Z, W). What's the range of (Z, W)? (b) Find the conditional PDF of Z|W. (c) Find the PDF of Z. (d) Find E(Z).

A:

A:

A:

A:

A: We have to find mean and stanadard deviation..

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

A: Given, f(x)=13x-1andg(x)=-f(x)+9   To find rule for g