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.xif-2 ≤ x < 06-P.if 0 < x < 1x² - 4x + 4 if 1 ≤ x ≤ 20otherwiseFind the cdf of X.f(x) = x²(b) Let F(x) be the cdf of a random variable X.0if x < -1x²if-1 < x≤02F(x)=+x+x²2N|T+x+1Find the pdf of X.if 0 < x < 1if 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

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Question

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

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