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Suppose you have joint random variables X and Y. a) If a problem does not state anything about whether the variables are independent or not, can we assume it? O No OYes b) How would you calculate Cov(X, Y) if we have no information about independence?

Suppose you have joint random variables X and Y. a) If a problem does not state anything about whether the variables are independent or not, can we assume it? O No OYes b) How would you calculate Cov(X, Y) if we have no information about independence?

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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Suppose you have joint random variables X and Y. a) If a problem does not state anything about whether the variables are independent or not, can we assume it? O No Yes b) How would you calculate Cov(X, Y) if we have no information about independence? OE(XY) E(X)E(Y) = 0 OE(XY) E(X)E(Y) - - c) If random variables X and Y are independent, how would you calculate Cov(X, Y)? OE(XY) - E(X)E(Y) O E(XY) E(X)E(Y) = 0 -
Transcribed Image Text:Suppose you have joint random variables X and Y. a) If a problem does not state anything about whether the variables are independent or not, can we assume it? O No Yes b) How would you calculate Cov(X, Y) if we have no information about independence? OE(XY) E(X)E(Y) = 0 OE(XY) E(X)E(Y) - - c) If random variables X and Y are independent, how would you calculate Cov(X, Y)? OE(XY) - E(X)E(Y) O E(XY) E(X)E(Y) = 0 -
Expert Solution
Step 1

a)

Given that X and Y are joint random variables.

We cannot assume X and Y as independent if there is no specific information about the independence.

Hence, the correct option is No.

 

b)

 

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