2. Take a bivariate normal distribution with two random variables X and Y, with mean value = (1, -1), var(X) = 3, var(Y) = 6, and cor(X,Y) = -0.5. (a) create a contour plot for this data (b) plot 1,000 simulations of this distribution (c) Using 1,000,000 simulations, find (i) the expected value of Y (i) the expected value of Y, given that X>2

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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2. Take a bivariate normal distribution with two random variables X and Y, with mean value = (1, -1),
var(X) = 3, var(Y) = 6, and cor(X,Y) = -0.5.
%3!
(a) create a contour plot for this data
(b) plot 1,000 simulations of this distribution
(c) Using 1,000,000 simulations, find
(1) the expected value of Y
(ii) the expected value of Y, given that X> 2
(ii) the expected value of Y, given that X = 2
Transcribed Image Text:2. Take a bivariate normal distribution with two random variables X and Y, with mean value = (1, -1), var(X) = 3, var(Y) = 6, and cor(X,Y) = -0.5. %3! (a) create a contour plot for this data (b) plot 1,000 simulations of this distribution (c) Using 1,000,000 simulations, find (1) the expected value of Y (ii) the expected value of Y, given that X> 2 (ii) the expected value of Y, given that X = 2
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