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)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 22E

See similar textbooks