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Let f(x) = k(5x - x2) if 0 S x 5 5 and f(x) = 0 if x 5. (a) For what value of k

Let f(x) = k(5x - x2) if 0 S x 5 5 and f(x) = 0 if x 5. (a) For what value of k is f a probability density function? K = (b) For that value of k, find P(X > 1). P(X > 1) = (c) Find the mean. U =

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