Question: Let Y Beta(, ), where > 0 and > 0, and let X = 4Y 2 (1 Y ). Find E[X]. Verify your answer using

Let Y Beta(, ), where > 0 and > 0, and let X = 4Y 2 (1 Y ). Find E[X]. Verify your answer using simulation in R for = 2 and = 3.

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