Problem 4. Let fx(x) be the probability density function of X, which is given by fx(x) = ce 0, -2x " x ≥ 2 otherwise (a) Find the value of c to make fx a valid probability density function. (b) Calculate the cumulative distribution function (c.d.f.) of X. (c) Calculate P(12 < X < 25) using the c.d.f. from part (b). You do not need to simplify your answer.
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