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Suppose that the continuous random variable X has CDF Fx(X) = {(x-2)/x , x>2 and 0, x=<2} a. Determine, and sketch, the pdf (probability density function) of X.  b. Find the mean and variance of X c. Determine the pdf of the random variable Y=X^2

Suppose that the continuous random variable X has CDF Fx(X) = {(x-2)/x , x>2 and 0, x=<2} a. Determine, and sketch, the pdf (probability density function) of X.  b. Find the mean and variance of X c. Determine the pdf of the random variable Y=X^2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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Suppose that the continuous random variable X has CDF Fx(X) = {(x-2)/x , x>2 and 0, x=<2}
a. Determine, and sketch, the pdf (probability density function) of X. 
b. Find the mean and variance of X
c. Determine the pdf of the random variable Y=X^2
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