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There are two random variable X and Y which have a joint probability density (mass) function as below: X 2 4 6 0 0.2 0.05 0.0 Y 1 0.1 0.2 0.1 2 0.0 0.1 0.25 (a) Calculate E(X) and E(Y). (b) Calculate the E(Y|X = 2), E(Y|X = 4), E(Y|X = 6).

There are two random variable X and Y which have a joint probability density (mass) function as below: X 2 4 6 0 0.2 0.05 0.0 Y 1 0.1 0.2 0.1 2 0.0 0.1 0.25 (a) Calculate E(X) and E(Y). (b) Calculate the E(Y|X = 2), E(Y|X = 4), E(Y|X = 6).

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
Problem 1P
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(c) Calculate the V(Y|X = 2), V(Y|X = 4), V(Y|X = 6). (d) Calculate the corr(X,Y). (e) Plot the probability mass function given in the Table above in X, Y space (using the size of the cross to reflect probability weightings), justifying the sign of the answer in (d).
Transcribed Image Text:(c) Calculate the V(Y|X = 2), V(Y|X = 4), V(Y|X = 6). (d) Calculate the corr(X,Y). (e) Plot the probability mass function given in the Table above in X, Y space (using the size of the cross to reflect probability weightings), justifying the sign of the answer in (d).
1. There are two random variable X and Y which have a joint probability density (mass) function as below: X 2 4 6 0 0.2 0.05 0.0 Y 1 0.1 0.2 0.1 2 0.0 0.1 0.25 (a) Calculate E(X) and E(Y). (b) Calculate the E(Y|X = 2), E(Y|X = 4), E(Y|X = 6).
Transcribed Image Text:1. There are two random variable X and Y which have a joint probability density (mass) function as below: X 2 4 6 0 0.2 0.05 0.0 Y 1 0.1 0.2 0.1 2 0.0 0.1 0.25 (a) Calculate E(X) and E(Y). (b) Calculate the E(Y|X = 2), E(Y|X = 4), E(Y|X = 6).
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