x<20 16x3 – 3x4 F (x) = 20 30 x<20 F(x) ={ 4x3-3x 20

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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Question
The probability density function of random variable X is given by
20<x<30
f(x) ={ 250
otherwise
Find the cumulative distribution function of the random variable X
0.
x<20
16x3 – 3x+
F(x) =
20<x<30
256
x> 30
x<20
F(x) ={ 4x3- 3x 20<x<30
x> 30
x<20
x2
F (x) =
-+4 20 <x<30
10
1600
x2 30
x<20
x2
F(x) =
4
20 <x< 30
500
*2 30
Transcribed Image Text:The probability density function of random variable X is given by 20<x<30 f(x) ={ 250 otherwise Find the cumulative distribution function of the random variable X 0. x<20 16x3 – 3x+ F(x) = 20<x<30 256 x> 30 x<20 F(x) ={ 4x3- 3x 20<x<30 x> 30 x<20 x2 F (x) = -+4 20 <x<30 10 1600 x2 30 x<20 x2 F(x) = 4 20 <x< 30 500 *2 30
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