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The random variable X has moment generating function ϕX(t)=(0.44e^t+1−0.44)^8 Provide answers to the following to two...

The random variable X has moment generating function

ϕX(t)=(0.44e^t+1−0.44)^8



Provide answers to the following to two decimal places

(a) Evaluate the natural logarithm of the moment generating function of 3X at the point t=0.4.

(b) Hence (or otherwise) find the expectation of 3X.

(c) Evaluate the natural logarithm of the moment generating function of 3X+6 at the point t=0.4.

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