a random variable has the following probability density function f(x) = k, 0, (2k, for 0 < x < 1 for 1 ≤ x < 2 elsewhere ) Find k, (b) find the probability distribution function F(x), (c) Find the probability that that e random variable takes on a value between 0.5 and 1.5, (d) find the mean and the variance or this probability density.

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