Question: 12 Let X be a discrete random variable, and let n 1 be an integer. Show that if the nth moment of X exists, then

12 Let X be a discrete random variable, and let n 1 be an integer. Show that if the nth moment of X exists, then the (n - 1)st moment of X also exists. Hence, if the nth moment of X exists, then all preceding moments of X exist as well.

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