2. The joint PMF of a bivariate RV (X, Y) is given byp(x, y):[k(2x+y), x= 1,2; y = 1, 210,otherwisewhere k is a constant.Find (a) the value of k, (b) the marginal PMF's of X and Y. (c) Are X and Y independent? (d) Find theconditional PMF's Pyx (yx) and Pxy(x|y) (e) Find P(Y = 2|X = 2) and P(X= 2|Y = 2).

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Answered: 2. The joint PMF of a bivariate RV (X,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

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2. The joint PMF of a bivariate RV (X, Y) is given by p(x, y) = [k(2x+y), x= 1,2; y = 1, 2 10, otherwise where k is a constant. Find (a) the value of k, (b) the marginal PMF's of X and Y. (c) Are X and Y independent? (d) Find the