Probability And Statistical Inference (10th Edition)
Probability And Statistical Inference (10th Edition)
10th Edition
ISBN: 9780135189399
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
Publisher: PEARSON
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Chapter 3.4, Problem 5E

Let X be a random variable of the mixed type having the cdf

F ( x ) = { 0 , x < 1 x 4 + 1 2 , 1 x < 1 , 1 , 1 x .

Determine the indicated probabilities. Drawing a graph of the cdf may be helpful.

(a) P ( X < 0 ) .

(b) P ( X < 1 ) .

(c) P ( X 1 ) .

(d) P ( X < 1 ) .

(e) P ( 1 X < 1 2 ) .

(f) P ( 1 < X 1 ) .

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Chapter 3 Solutions

Probability And Statistical Inference (10th Edition)

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