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)
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.
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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