1. The problem statement, all variables and given/known data Say X has a density f(x) = 3x^(-4) if x > 1, and 0 otherwise. Now say X1,...,X16 are independent with density f. Let Y = (X1X2...X16)^(1/16). Find E(Y) and Var(Y). 2. Relevant equations Var(Z) = E(Z^2) - [E(Z)]^2 E(Z) = Integral from -inf to +inf of z*f(z)dz 3. The attempt at a solution I found E(X) = 3/2 and Var(X) = 3/4, using the above formulas. However, I still do not even know how to approach the actual question of the problem. Thank you all in advance!