1. Two discrete random variables X and Y have the joint PMF given by (0.2 x = -1,y = 0 |0.1 x = -1,y = 1 0.1 x = 0,y = 0 Pxy (x, y) = { 0.2 x = 0,y = 1 0.1 x = 1, y = 0 0.3 x = 1, y = 1 0o therwise Determine the followings: a) the marginal PMFS of X and Y (i.e., px(x),py(y)) b) the conditional PMF of X given Y, px|y (x|y) c) whether X and Y are independent.

1. Two discrete random variables X and Y have the joint PMF given by (0.2 x = -1,y = 0 |0.1 x = -1,y = 1 0.1 x = 0,y = 0 Pxy (x, y) = { 0.2 x = 0,y = 1 0.1 x = 1, y = 0 0.3 x = 1, y = 1 0o therwise Determine the followings: a) the marginal PMFS of X and Y (i.e., px(x),py(y)) b) the conditional PMF of X given Y, px|y (x|y) c) whether X and Y are independent.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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