1. The problem statement, all variables and given/known data Let Z follow a standard normal distribution. Compute E(Z^3) and E(Z^4) 2. Relevant equations I know that mu is 0 and sigma is 1. And f(z) = e^(-z^2/2)/sqrt(2pi) 3. The attempt at a solution I tried to take the integral of ∫Z^3 * f(z) from the integral from -∞ to ∞ and did the same for E(Z^4) where the Z^3 is replaced by Z^4, but I don't know if I am doing the problem right or wrong.