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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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
Transcribed Image Text: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
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