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Math Help - Standard normal distribution expected values

  1. #1
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    Standard normal distribution expected values

    Given the t distribution with v df: T=Z/sqr((Y/v))

    Also given that Z has standard normal distribution and Y is independent chi-square distributed variable with v df.

    My question is: find E(Z) and E(Z^2) given Z has a standard normal distribution
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  2. #2
    MHF Contributor matheagle's Avatar
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    Quote Originally Posted by redwings6 View Post
    Given the t distribution with v df: T=Z/sqr((Y/v))

    Also given that Z has standard normal distribution and Y is independent chi-square distributed variable with v df.

    My question is: find E(Z) and E(Z^2) given Z has a standard normal distribution
    What does that have to do with a t or a chi-square?
    If Z has standard normal distribution then it has mean zero and a second moment=variance of one.
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