Consider a random variable, W, with the moment generating function Mw(t) = (0.1 + 0.9e¹)2. Determine the third moment, E[W³].

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A: Given that the discrete random variable  with moment generating funtion (MGF) is:

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A: Solution

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A:

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A: The log-likelihood of Poisson distribution with parameter  is given as:

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A: U1,U2,...,Un is a random sample from U(0,1).The PDF of U is given by:f(u)=1;0&lt;u&lt;1

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A: It is an important part of statistics. It is widely used.

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A:

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A: Solution: The given probability mass function of X is

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A: exact explanation is given below.Explanation:

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A:

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