The CDF of a random variable X isX < -1(x + 1)/2 -1< x<1x 2 1Fx (x) =1a. What is P[X > 1/2]?b. What is P[-1/2 < X < 3/4]?c. What is P[|X|< 1/2]?d. What is the value of a such that P[X < a] = 0.8?Ans. A) 0.25 B) 0.625 C) 0.5 D) 0.6

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Answered: The CDF of a random variable X is X <…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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The CDF of a random variable X is X < -1 (x + 1)/2 -1< x<1 x 2 1 Fx (x) = 1 a. What is P[X > 1/2]? b. What is P[-1/2 < X < 3/4]? c. What is P[|X|< 1/2]? d. What is the value of a such that P[X < a] = 0.8? Ans. A) 0.25 B) 0.625 C) 0.5 D) 0.6