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1) For independent random variables X N (3, 2) and Y N (1, 4), consider the random variable Z = 3X 2Y 5. Find its
1) 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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