Find the cumulative distribution function of the random variable X whose probability density is given by PDF 0

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Find the cumulative distribution function of the random variable X whose probability density
is given by
PPF
f(x) ={2-x 15x<2
0<x<1
Elsewhere
2
ANutes Canpests
ت تم مشاركة العرض من قِبل Ashkan . . .Khali
B S
A
A
۳۱ مشارگا آخر
SHAMSA
Ashkan
أنت
Transcribed Image Text:۲:۳۶ م 150 « sbd-vxpa-cbc lecturnppta - PowerPort Sign in Ink Teoh O Tel me hat you want to de Jansition Aeimations View Helo Pens Pen Inkng Stencihs Cenet Find the cumulative distribution function of the random variable X whose probability density is given by PPF f(x) ={2-x 15x<2 0<x<1 Elsewhere 2 ANutes Canpests ت تم مشاركة العرض من قِبل Ashkan . . .Khali B S A A ۳۱ مشارگا آخر SHAMSA Ashkan أنت
Expert Solution
Step 1

As the graph given above in question:

It is clear that fx0, for all x.

So,

-fxdx=02xdx02xdx=01xdx+022-xdx02xdx=1

If we want to calculate probability at 0.5, then:

P0<X<0.5=00.5fxdx00.5xdx=0.125

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