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(30 points) Suppose U has a uniform distribution on the interval [1, b] where b > 1, and that EN] = 6Var[U]. (a) What is

(30 points) Suppose U has a uniform distribution on the interval [1, b] where b > 1, and that EN] = 6Var[U]. (a) What is the value of b? (b) What is the mean of U? (c) What is the variance of U

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