(a) Calculate the V(Y|X = 2), V(Y|X = 4), V(Y|X = 6). (b) Calculate the corr(X,Y). (c) 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 (b).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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1. There are two random variable X and Y which have a joint probability density (mass)
function as below:
X
2
4
0
0.2
0.05
0.0
Y
1
0.1
0.2
0.1
2
0.0
0.1
0.25
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 0 0.2 0.05 0.0 Y 1 0.1 0.2 0.1 2 0.0 0.1 0.25
(a) Calculate the V(Y|X = 2), V(Y|X = 4), V(Y|X = 6).
(b) Calculate the corr(X,Y).
(c) 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
(b).
Transcribed Image Text:(a) Calculate the V(Y|X = 2), V(Y|X = 4), V(Y|X = 6). (b) Calculate the corr(X,Y). (c) 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 (b).
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