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For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X, (ii) find the

For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X, (ii) find the cdf, F(x) = P(X<_ x), (iii) sketch graphs of the pdf f(x) and the cdf F(x), and (iv) find the mean and variance. a. f(x) = (x^3)/4 , 0

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