Suppose that a random variable X has the following probability density function. f(x) = { 0 SC (64-x²) 0 ≤ x ≤ 8 otherwise Find the expected value of X. (You will need to find the value of the constant C so that f is a pdf.)

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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Suppose that a random variable X has the following probability density function.
SC (64-x²) 0 ≤ x ≤ 8
otherwise
f(x) = {C
Find the expected value of X.
(You will need to find the value of the constant C so that f is a pdf.)
Transcribed Image Text:Suppose that a random variable X has the following probability density function. SC (64-x²) 0 ≤ x ≤ 8 otherwise f(x) = {C Find the expected value of X. (You will need to find the value of the constant C so that f is a pdf.)
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