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7. (10 points) Suppose that the random variable X has probability density function f (x) = 12x(1 302, 0 7. (10 points) Suppose that the

7. (10 points) Suppose that the random variable X has probability density function f (x) = 12x(1 302, 0

7. (10 points) Suppose that the random variable X has probability density function f (x) = 12x(1 x)2, 0 < x < 1 . Find the cumulative distribution function and the probability density function of the random variable Y =

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