Problem 1) The cumulative distribution function of random variable X is: 0 x<-1 x+1 Fx(x) = 2 1 -1 ≤ x < 1 x ≥ 1 a) Find P[X > 1/2]. b) Find P[-1/2 < X < 3/4]. c) Find P[IX ≤ 1/2]. d) What is the value of a such that P[X ≤ a] = 0.8. e) Find the PDF fx(x) of X.

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