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I have a question about part(b). I know that F(x)=P(X < x) = integrate of f(t)dt. It is easy for me to get F(x) when -1

I have a question about part(b). I know that F(x)=P(X < x) = integrate of f(t)dt. It is easy for me to get F(x) when -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 have a question about part(b). I know that F(x)=P(X < x) = integrate of f(t)dt. It is easy for me to get F(x) when -1<x<1. However, I do not know how to get F(x) when x<-1 or x>1. 

5.1. Let X be a random variable with probability density function (c(1-x²) −1<x<1 f(x) = otherwise a. What is the value of c? b. What is the cumulative distribution function of X? a. 10 fix) = 1 So √ ₁ c11-x²) dx = 1 c√-₁ 1-x²³ dx = 1 с c[x - 3²³² ] - ₁ = 1 !. Fix = b. the cumulative F(x): S₁ fit) dt = & √₁² (1-6² )dt ja C Mit 4 3 =1 3 ( = 1/1/2/2 1 distribution function of X $(x-2² +²3) 3 0 x=-1 2 (x - 1²/²³ + 3² ) -+<x< x=1 3 = 2²/² [ + - ² ² ] ² 3 -1 < x < 1
Transcribed Image Text:5.1. Let X be a random variable with probability density function (c(1-x²) −1<x<1 f(x) = otherwise a. What is the value of c? b. What is the cumulative distribution function of X? a. 10 fix) = 1 So √ ₁ c11-x²) dx = 1 c√-₁ 1-x²³ dx = 1 с c[x - 3²³² ] - ₁ = 1 !. Fix = b. the cumulative F(x): S₁ fit) dt = & √₁² (1-6² )dt ja C Mit 4 3 =1 3 ( = 1/1/2/2 1 distribution function of X $(x-2² +²3) 3 0 x=-1 2 (x - 1²/²³ + 3² ) -+<x< x=1 3 = 2²/² [ + - ² ² ] ² 3 -1 < x < 1
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