A stick of length 8 meters is randomly broken into two parts. Find the cumulative distribution function (cdf) and the probability density function (pdf) of the length of the shorter part. Cumulative distribution { function: F(x) Probability density function.: f(x) = = { if 04. if if if

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A stick of length 8 meters is randomly broken into
two parts. Find the cumulative distribution
function (cdf) and the probability density function
(pdf) of the length of the shorter part.
Cumulative distribution
function: F(x) = {
Probability density
function.:
f(x) = {
I
I
if 0<x<4,
x<0,
0<x<4,
x>4.
otherwise.
if
if
if
Transcribed Image Text:A stick of length 8 meters is randomly broken into two parts. Find the cumulative distribution function (cdf) and the probability density function (pdf) of the length of the shorter part. Cumulative distribution function: F(x) = { Probability density function.: f(x) = { I I if 0<x<4, x<0, 0<x<4, x>4. otherwise. if if if
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