Question: {b} Suppose the moment generating function of the random variable X is Mr {t}. i. For any constants o. and b, show that the moment

{b} Suppose the moment generating function of the random variable X is Mr {t}. i. For any constants o. and b, show that the moment generating function of: Y = {IX + h is: MyEt} = \"Mxrag. [4 marks} ii. Use the moment generating function result in part i. to derive the expected value of Y in tem'la of the expected value of X. [4 marks}

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