rv X and Y have a joint Gaussian distribution ~ N(µ =[0.5,1.6], Σ a. Where is the centroid of the distribution, i.e., (X,Y) coordinates? b. Are X and Y independent? Explain why or why not = C. What is the standard deviation of X, σx? [0.5 0.2)] 10.2 0.3. d. In the covariance matrix, if 0.5 increased to 1.5, what would happen to the distribution? e. What is cov(X,Y)? f. Sketch the approximate shape of this distribution

rv X and Y have a joint Gaussian distribution ~ N(µ =[0.5,1.6], Σ a. Where is the centroid of the distribution, i.e., (X,Y) coordinates? b. Are X and Y independent? Explain why or why not = C. What is the standard deviation of X, σx? [0.5 0.2)] 10.2 0.3. d. In the covariance matrix, if 0.5 increased to 1.5, what would happen to the distribution? e. What is cov(X,Y)? f. Sketch the approximate shape of this distribution

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 29CR

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