(+17) (5t)? px(1) = exp + 17t 2 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 = 0.89. %3D (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 = 0.89.

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The random variable X has moment generating function
(5t)
þx(1) = exp
+ 17)
%3D
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 = 0.89.
(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 = 0.89.
Transcribed Image Text:The random variable X has moment generating function (5t) þx(1) = exp + 17) %3D 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 = 0.89. (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 = 0.89.
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