13. Take X and Y to be independent random variables each having exp value 5 and stand dev 3. Now calculate (a) VAR (2X - 3Y+ 5)= (b) E(2X - 3Y+ 5) = (c) Suppose that X and Y are normal random variables. Describe the probability model for X+Y. (You need to give its name, if possible, and clearly state the values of its parameters.) (d) If you were told that Cov(X,Y) = 4 and that X and Y are not independent, what would Var(X-Y) be?

13. Take X and Y to be independent random variables each having exp value 5 and stand dev 3. Now calculate (a) VAR (2X - 3Y+ 5)= (b) E(2X - 3Y+ 5) = (c) Suppose that X and Y are normal random variables. Describe the probability model for X+Y. (You need to give its name, if possible, and clearly state the values of its parameters.) (d) If you were told that Cov(X,Y) = 4 and that X and Y are not independent, what would Var(X-Y) be?

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Description: 13. Take X and Y to be independent random variables each having exp value 5 and stand dev 3.Now calculate (a) VAR (2X - 3Y+ 5)=(b) Е(2X - 3Ү + 5) %3(c) Suppose that X and Y are normal random variables. Describe the probability model for X+Y. (You ne

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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13. Take X and Y to be independent random variables each having exp value 5 and stand dev 3.
Now calculate (a) VAR (2X - 3Y+ 5)=
(b) Е(2X - 3Ү + 5) %3
(c) Suppose that X and Y are normal random variables. Describe the probability model for X+Y. (You need to give
its name, if possible, and clearly state the values of its parameters.)
(d) If you were told that Cov(X,Y) = 4 and that X and Y are not independent, what would Var(X-Y) be?

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