Solution Found!
Sketch the graphs of the following pdfs and find and
Chapter 3, Problem 12E(choose chapter or problem)
Sketch the graphs of the following pdfs and find and sketch the graphs of the cdfs associated with these distributions (note carefully the relationship between the shape of the graph of the pdf and the concavity of the graph of the cdf):
(a) \(f(x)=\left(\frac{3}{2}\right) x^{2}, \quad-1<x<1\).
(b) \(f(x)=\frac{1}{2}, \quad-1<x<1\).
(c) \(f(x)= \begin{cases}x+1, & -1<x<0, \\ 1-x, & 0 \leq x<1 .\end{cases}\)
Equation Transcription:
{
Text Transcription:
f(x)=(3/2)x^2, -1<x<1
f(x)=12, -1<x<1
f(x)= {_1-x, 0 x < 1 ^x+1 -1< x< 0
Questions & Answers
QUESTION:
Sketch the graphs of the following pdfs and find and sketch the graphs of the cdfs associated with these distributions (note carefully the relationship between the shape of the graph of the pdf and the concavity of the graph of the cdf):
(a) \(f(x)=\left(\frac{3}{2}\right) x^{2}, \quad-1<x<1\).
(b) \(f(x)=\frac{1}{2}, \quad-1<x<1\).
(c) \(f(x)= \begin{cases}x+1, & -1<x<0, \\ 1-x, & 0 \leq x<1 .\end{cases}\)
Equation Transcription:
{
Text Transcription:
f(x)=(3/2)x^2, -1<x<1
f(x)=12, -1<x<1
f(x)= {_1-x, 0 x < 1 ^x+1 -1< x< 0
ANSWER:
Step 1 of 4:
Here for the given probability density function we have to find the respective cumulative density function and then we have to sketch their graphs.