Question: Let X be a discrete random variable and assume that it has finite moments of any order up to a positive integer r, i.e. ????

Let X be a discrete random variable and assume that it has finite moments of any order up to a positive integer r, i.e. ????′

i

????r = [E(X − ????)r],

where ???? = E(X), is given by the formula= Mr -- k=0

(Hint: Begin by expanding the power (X − ????)r according to the binomial theorem.)

= Mr -- k=0

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