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2) Consider A Discrete Random Variable X Whose Cumulative Distribution Function (CDF) Is Given By 0

2) Consider a discrete random variable X whose cumulative distribution function (CDF) is given by 0 if X < 0 0.2 if 0 <x< 1 Fx(x) = {0.5 if 1 < x < 2 0.9 if 2 < x < 3 (1 if x 23 a) Give the probability mass function of X, explicitly. b) Compute P(2 5X 53). c) Compute P(X22). d) Compute P(x21|X<2).