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(answered) – 1) For independent random variables X N (3, 2) and Y N

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(answered) – 1) For independent random variables X N (3, 2) and Y NDescriptionSolution downloadThe Question1) For independent random variables X ? N (3, 2) and Y ? N (?1, 4), consider the random variable Z = 3X ? 2Y ? 5. Find its moment generating function, distribution, expectation, and variance.2)?Using the moment generating function of X ? N (0, 1), find EX^3 and EX^4 .3)?Find the moment generating function of the uniform random variable on [0, 1].

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