The moment-generating function, m(t), which gives useful information about the normal

Chapter 7, Problem 80

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The moment-generating function, m(t), which gives useful information about the normal distribution of statistics, is defined by m(t) = , etx ex2/2 2 dx. Find a formula for m(t). [Hint: Complete the square and use the fact that - ex2/2 dx = 2.]

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