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Use the Maclaurin s series expansion of the moment generating function of

Use the Maclaurin’s series expansion of the moment-generating function of the standard normal distribution to show that

(a) µr = 0 when r is odd;

(b) µr = r! 2r / 2r/2(r/2)! when r is even.

(a) µr = 0 when r is odd;

(b) µr = r! 2r / 2r/2(r/2)! when r is even.

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