8. A continuous random variable X has the probability density function given by 0≤x≤2 otherwise If the mean of the distribution is 3, find the constants a and b. f(x)=2ax+b =0

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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8. A continuous random variable X has the probability density function
given by
f(x)=2ax+b
=0
0≤x≤2
otherwise
If the mean of the distribution is 3, find the constants a and b.
Transcribed Image Text:8. A continuous random variable X has the probability density function given by f(x)=2ax+b =0 0≤x≤2 otherwise If the mean of the distribution is 3, find the constants a and b.
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