Consider two binary random variables X and Y, i.e. they take values in R = {0, 1}.You are told that P(X = 0) = 1/3 and P(Y = 1) = 1/3, and that the probabilitythat X and Y have the same value is P(X = Y) = 1/2.(a) What is the probability that P(X = 0, Y = 0)?Are X and Y independent?

From the given information, There are two binary random variables X and Y. P(X=0)=1/3…

Consider two binary random variables X and Y, i.e. they take values in R = {0, 1} You are told that P(X = 0) = 1/3 and P(Y = 1) = 1/3, and that the probabilit that X and Y have the same value is P(X =Y) = 1/2. %3D

Consider two binary random variables X and Y, i.e. they take values in R = {0, 1} You are told that P(X = 0) = 1/3 and P(Y = 1) = 1/3, and that the probabilit that X and Y have the same value is P(X =Y) = 1/2. %3D

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Question

Consider two binary random variables X and Y, i.e. they take values in R = {0, 1}.
You are told that P(X = 0) = 1/3 and P(Y = 1) = 1/3, and that the probability
that X and Y have the same value is P(X = Y) = 1/2.
(a) What is the probability that P(X = 0, Y = 0)?
Are X and Y independent?

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