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8. (a) Let f(x) be the pdf of a random variable X. if-2 ≤ x < 0 if 0 < x < 1 x² - 4x + 4 if 1 ≤ x ≤ 2 otherwise 0 Find the cdf of X. f(x) = - (b) Let F(x) be the cdf of a random variable X. if x < -1 0 x² if-1 < x≤0 2 F(x) = +x+ x² 2 +x+ 1 Find the pdf of X. if 0 < x < 1 if x ≥ 1

8. (a) Let f(x) be the pdf of a random variable X. if-2 ≤ x < 0 if 0 < x < 1 x² - 4x + 4 if 1 ≤ x ≤ 2 otherwise 0 Find the cdf of X. f(x) = - (b) Let F(x) be the cdf of a random variable X. if x < -1 0 x² if-1 < x≤0 2 F(x) = +x+ x² 2 +x+ 1 Find the pdf of X. if 0 < x < 1 if x ≥ 1

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I need help understanding this homework review Probability question. Please give the answer with as much explanation as possible, thanks so much in advance. 

8. (a) Let f(x) be the pdf of a random variable X. x if-2 ≤ x < 0 6 -P. if 0 < x < 1 x² - 4x + 4 if 1 ≤ x ≤ 2 0 otherwise Find the cdf of X. f(x) = x² (b) Let F(x) be the cdf of a random variable X. 0 if x < -1 x² if-1 < x≤0 2 F(x)= +x+ x² 2 N|T +x+ 1 Find the pdf of X. if 0 < x < 1 if x ≥ 1
Transcribed Image Text:8. (a) Let f(x) be the pdf of a random variable X. x if-2 ≤ x < 0 6 -P. if 0 < x < 1 x² - 4x + 4 if 1 ≤ x ≤ 2 0 otherwise Find the cdf of X. f(x) = x² (b) Let F(x) be the cdf of a random variable X. 0 if x < -1 x² if-1 < x≤0 2 F(x)= +x+ x² 2 N|T +x+ 1 Find the pdf of X. if 0 < x < 1 if x ≥ 1
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Farmula used

P(X≤x)=F(x)

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