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Suppose that the pdf for X is f ( x ) = 3 8 x 2...

Suppose that the pdf for X is f ( x ) = 3 8 x 2 , 0 ≤ x ≤ 2, f(x) = 0 otherwise. Suppose that Y is uniformly distributed on the interval from x to 2x for any given x.   

Determine P(Y < 2)

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