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Consider the following joint distribution of two random variables X and Y: Y\X 1 2 3 Total ? 0.16 ? 0.48 0.20 ? 0.18 ? Total 0.30 ? a. Calculate E(Y) and V(Y) b. Find the conditional probability of X given Y=2 c. Calculate E(X/Y=2) and V(X/Y=2) d. Are the variables statistically X and Y independent?

Consider the following joint distribution of two random variables X and Y: Y\X 1 2 3 Total ? 0.16 ? 0.48 0.20 ? 0.18 ? Total 0.30 ? a. Calculate E(Y) and V(Y) b. Find the conditional probability of X given Y=2 c. Calculate E(X/Y=2) and V(X/Y=2) d. Are the variables statistically X and Y independent?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Consider the following joint distribution of two random variables X and Y: Y\X 1 2 3 Total ? 0.16 0.48 0.20 ? 0.18 ? Total 0.30 a. Calculate E(Y) and V(Y) b. Find the conditional probability of X given Y=2 c. Calculate E(X/Y=2) and V(X/Y=2) d. Are the variables statistically X and Y independent?
Transcribed Image Text:Consider the following joint distribution of two random variables X and Y: Y\X 1 2 3 Total ? 0.16 0.48 0.20 ? 0.18 ? Total 0.30 a. Calculate E(Y) and V(Y) b. Find the conditional probability of X given Y=2 c. Calculate E(X/Y=2) and V(X/Y=2) d. Are the variables statistically X and Y independent?
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