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Suppose that if 0<x < 4 81a 14(2x+1)5/2 f(x) = elsewhere be a probability density function of a random variable X. (a) Verify that it is a valid density function. (b) Compute the cumulative density function. (c) Using part (b) to calculate P(X >). Suppose that if 0<x < 4 81a 14(2x+1)5/2 f(x) = elsewhere be a probability density function of a random variable X. (a) Verify that it is a valid density function. (b) Compute the cumulative density function. (c) Using part (b) to calculate P(X >).