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Suppose that Y has density function f ( y ) = k y^2 ( 1 y ) 1 ( 0 , 1 ) ( y

Suppose thatYhas density functionf(y)=ky^2(1y)1(0,1)(y).f(y)=ky^2(1y)1(0,1)(y).

Find the value ofkthat makesfa probability density function.
Work out the formula for the cumulative distribution functionF.

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