JP investigates two random variables, X and Y, where Y = X². We can calculateE(XY) = 0, E(X) = 0, and E(Y) = 3.(a) Using this information, find COV(X,Y).(b) Write a sentence describing association between X and Y.(c) Are X and Y independent? Justify your answer. Include a statement about your co-variance calculation in your answer. (You do NOT need to complete any calculationsto answer this question.)

Given E(XY)=0, E(X)=0, E(Y)=3 Farmula used Cov(X,Y)=E(XY)-E(X)E(Y)

Answered: JP investigates two random variables, X…

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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(b) For each pair of variables, generate the correlation coefficient r. For all pairs involving x,, compute the corresponding coefficient of determinationr. (Use 3 decimal places.) X1, X2 .894 X1, X3 .946 .895 X1, X4 .914 .835 .91 X1, X5 .954 X1, X6 -.912 .832 X2, X3 X2, X4 X2, X5 X2, X6 X31 X4 .906 X31 X5 .864 Хз Х6 X4, X5 .795 X4, X6 X5, X6 -.87
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1. Suppose a X value is produced by a random process that has a mean of 1 and a variance of 9, while a Y value is produced by a random process that has a mean of 9 and a variance of 1. Let Z = 3X - 2Y. Compute: a. the mean and variance of Z assuming X and X are independent. b. the mean and variance of Z assuming X and X are not independent and their correlation coefficient is 0.50.
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For random variables X and Y such that E(X) = 2, E(Y) = 1, E(X²) = 10, E(Y²) = 3, and E (XY) = c, Find: а. Var(3X — 5Y). b. The correlation coefficient between X and Y, p. The range of values of c for which the assumptions of the problem are consistent. С.

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