Mathematical Statistics and Data Analysis
Mathematical Statistics and Data Analysis
3rd Edition
ISBN: 9781111793715
Author: John A. Rice
Publisher: Cengage Learning
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Chapter 3.8, Problem 47P
To determine

Find the density of Z=X+Y and show that Z is normally distributed as well.

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let X and Y are two random variables with p.d.f as f(x,y)=3x2y+3yx2 0<x<1 0<x<1.find conditional density of X given Y?.Find mean mode and standard deviation of r.v Y?. Correlation between X and Y?. check that X and Y are independent or not?.
Consider three random variables X, Y, and Z with distribution functions,  Which of the random variables X, Y and Z has a density function?
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