Standard normal distribution help

[whitedragonxx]

Homework Statement

Let Z follow a standard normal distribution. Compute E(Z^3) and E(Z^4)

Homework Equations

I know that mu is 0 and sigma is 1. And f(z) = e^(-z^2/2)/sqrt(2pi)

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.

 

[Ray Vickson]

Homework Statement

Let Z follow a standard normal distribution. Compute E(Z^3) and E(Z^4)

Homework Equations

I know that mu is 0 and sigma is 1. And f(z) = e^(-z^2/2)/sqrt(2pi)

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.

Well, show us what you did.

RGV