Moment The moment generating function of the random variable X having a chi squared distribution...

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Moment The moment generating function of the random variable X having a chi squared distribution with v degrees of freedom is My t 1 21 show that the mean and variance of the chi squared distribution with v degrees of freedom are respectively v and 2v Express the mean of X u in terms of a moment about the origin of X P P1 This moment about the origin can be found by evaluating Mx 0 0 For any value of t the derivative identified in the previous step is Use

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