Let Y1 and Y2 be independent and uniformly distributed over the interval (0,1). Find the p(2Y1 Solution FOLLOW THIS a) Probability density of U is also uniform, but it is a square It can be written as Pr(U2) = 1 for 0<=Y1<=1,0<=Y2<=1 b) E(U2) = 0.5*0.5 = 0.25 V(U2) = E^2(U2) - 0.25^2 = 7/144=0.04861111.