Consider a random variable X with the cumulative distribution function (cdf) given by Fx (x) =...

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Consider a random variable X with the cumulative distribution function (cdf) given by Fx (x) = 0 2 X if x < 0 if 0 < x < 1 3 x- +A if1<x<2 if x > 2. (a) Compute the probability of each event: (i) X < 1/2. (ii) X < 1. (iii) X < 1. (iv) 1/2 < X < 3/2. Consider a random variable X with the cumulative distribution function (cdf) given by Fx (x) = 0 2 X if x < 0 if 0 < x < 1 3 x- +A if1<x<2 if x > 2. (a) Compute the probability of each event: (i) X < 1/2. (ii) X < 1. (iii) X < 1. (iv) 1/2 < X < 3/2.