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4. Suppose the joint distribution table of two random variables X and Y is given as: (x,y) 1|2|3|4 0 0.1 0 -2 0.1 0 0 0.2 0 0.2 2 0.3 0 0 0.1 (a) Calculate the marginal pmfs for this joint distribution. (b) Calculate the conditional pmf for this joint distribution. (c) Calculate Cov(X, Y) and Corr(X,Y). (d) Calculate E(XY2) and E(4XY). 1 (e) Calculate P(X – Y| > 1) and P(X +2Y >3)

4. Suppose the joint distribution table of two random variables X and Y is given as: (x,y) 1|2|3|4 0 0.1 0 -2 0.1 0 0 0.2 0 0.2 2 0.3 0 0 0.1 (a) Calculate the marginal pmfs for this joint distribution. (b) Calculate the conditional pmf for this joint distribution. (c) Calculate Cov(X, Y) and Corr(X,Y). (d) Calculate E(XY2) and E(4XY). 1 (e) Calculate P(X – Y| > 1) and P(X +2Y >3)

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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN: 9781133382119

Author: Swokowski

Publisher: Cengage

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Transcribed Image Text:4. Suppose the joint distribution table of two random variables X and Y is given as: (x,y) 1|2|3|4 0 0.1 0 -2 0.1 0 0 0.2 0 0.2 2 0.3 0 0 0.1 (a) Calculate the marginal pmfs for this joint distribution. (b) Calculate the conditional pmf for this joint distribution. (c) Calculate Cov(X, Y) and Corr(X,Y). (d) Calculate E(XY2) and E(4XY). 1 (e) Calculate P(X – Y| > 1) and P(X +2Y >3)

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