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    moment generating function and expected value

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    3.88
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    Use your answer from 3.87 to show that E(Y) = aE(X) +b

    3.87: [ If X is a random variable with moment-generating function M(t), and Y is a function of X given by Y=aX+b,
    show that the moment-generating function for Y is e^(tb) * M(at) ]
    My answer for exercise 3.87 is attached.

    © BrainMass Inc. brainmass.com June 3, 2020, 9:12 pm ad1c9bdddf
    https://brainmass.com/statistics/central-tendency/moment-generating-function-expected-value-170475

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    Solution Summary

    The solution shows how to find the expected value of Y using its moment generating function.

    $2.19

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