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If X is a random variable having a normal distribution

If X is a random variable having a normal distribution with the mean µ and the standard deviation s, use the third part of Theorem 4.10 on page 128 and Theorem 6.6 to show that the moment– generating function of

Z = X – µ / σ

Is the moment-generating function of the standard normal distribution. Note that, together with the two theorems on page xxx, this proves Theorem 6.7.

Z = X – µ / σ

Is the moment-generating function of the standard normal distribution. Note that, together with the two theorems on page xxx, this proves Theorem 6.7.

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