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There are two random variables X and Y, and their correlation coefficient p(X,Y) = We also know that the expectations of X and Y are E(X)=3 and E(Y)=2. Now, we h Ewo new random variables A = 2X+2 and B = 5Y+5. Please compute the expectation E(A+B) and the correlation coefficient of A and В, p(А, B). O a. E(A+B) = 16 O b. p(A,B) = 0.25 O c. p(A,B) = 0.8 O d. E(A+B) = 5 O e. p(A,B) = 0.08 O f. E(A+B) = 120 O g. E(A+B) = 23 O h. None of the other answers are correct

There are two random variables X and Y, and their correlation coefficient p(X,Y) = We also know that the expectations of X and Y are E(X)=3 and E(Y)=2. Now, we h Ewo new random variables A = 2X+2 and B = 5Y+5. Please compute the expectation E(A+B) and the correlation coefficient of A and В, p(А, B). O a. E(A+B) = 16 O b. p(A,B) = 0.25 O c. p(A,B) = 0.8 O d. E(A+B) = 5 O e. p(A,B) = 0.08 O f. E(A+B) = 120 O g. E(A+B) = 23 O h. None of the other answers are correct

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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There are two random variables X and Y, and their correlation coefficient p(X,Y) = 0.8. We also know that the expectations of X and Y are E(X)=3 and E(Y)=2. Now, we have two new random variables A = 2X+2 and B = 5Y+5. Please compute the expectation E(A+B) and the correlation coefficient of A and В, p(А, B). O a. E(A+B) = 16 ОБ. р(А,В) 3 0.25 O c. p(A,B) = 0.8 O d. E(A+B) = 5 е. p(А,B) %3D 0.08 O f. E(A+B) = 120 g. E(A+B) = 23 O h. None of the other answers are correct
Transcribed Image Text:There are two random variables X and Y, and their correlation coefficient p(X,Y) = 0.8. We also know that the expectations of X and Y are E(X)=3 and E(Y)=2. Now, we have two new random variables A = 2X+2 and B = 5Y+5. Please compute the expectation E(A+B) and the correlation coefficient of A and В, p(А, B). O a. E(A+B) = 16 ОБ. р(А,В) 3 0.25 O c. p(A,B) = 0.8 O d. E(A+B) = 5 е. p(А,B) %3D 0.08 O f. E(A+B) = 120 g. E(A+B) = 23 O h. None of the other answers are correct
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