Question: The random variable X has moment generating function X(t)=exp(2(7t)2+20t) Provide answers to the following to two decimal places (a) Evaluate the natural logarithm of the

The random variable X has moment generating function X(t)=exp(2(7t)2+20t) Provide answers

The random variable X has moment generating function X(t)=exp(2(7t)2+20t) Provide answers to the following to two decimal places (a) Evaluate the natural logarithm of the moment generating function of 5X at the point t=0.61. (b) Hence (or otherwise) find the expectation of 5X. (c) Evaluate the natural logarithm of the moment generating function of 5X+8 at the point t=0.61

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