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Problem 2. [10 points] Let X ~ Uniform(a, b) a. Find the mean of X using the definition of expected value. b. Find the variance

Problem 2. [10 points] Let X ~ Uniform(a, b) a. Find the mean of X using the definition of expected value. b. Find the variance of X using the definition of expected value. Hint:(x3 - y3) = (x-y)(x2 + xy + y? ) c. Find the moment generating function

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