1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Standard normal distribution help

  1. Jun 10, 2012 #1
    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.
  2. jcsd
  3. Jun 10, 2012 #2

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    Well, show us what you did.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook