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Let the probability density of X be given by f(x) = c(4x - 2x^2 ), 0...

Let the probability density of X be given by f(x) = c(4x - 2x^2 ), 0 < x < 2; 0, otherwise. a) What is the value of c? b) What is the cumulative distribution function of X?

c) Find P(X<1|(1/2)<X<(3/2)).

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