Let X and Y be independent random variables, each uniformly distributed on the interval [0,1].

Question

Let Z=max{X,Y}. Find the PDF of Z. Express your answer in terms of z using standard notation .

For 0<z<1, fZ(z)= 1 - unanswered
1
Let Z=max{2X,Y}. Find the PDF of Z. Express your answer in terms of z using standard notation .

For 0<z<1, fZ(z)= - unanswered

For 1<z<2, fZ(z)= - unanswered