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Problem 5 Consider the probability space (2,4,P) with = (0,1), A = P(Q), and P({0})= = = P({1}). Define two random variables X and Y that have the same distribution (i.e. the same probability mass function) but satisfy X(w) #Y(w) for all w€ 2.

Problem 5 Consider the probability space (2,4,P) with = (0,1), A = P(Q), and P({0})= = = P({1}). Define two random variables X and Y that have the same distribution (i.e. the same probability mass function) but satisfy X(w) #Y(w) for all w€ 2.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Problem 5 Consider the probability space (,,P) with = (0,1), A = P(Q), and P({0})= = = P({1}). Define two random variables X and Y that have the same distribution (i.e. the same probability mass function) but satisfy X(w) #Y(w) for all w€ 2.
Transcribed Image Text:Problem 5 Consider the probability space (,,P) with = (0,1), A = P(Q), and P({0})= = = P({1}). Define two random variables X and Y that have the same distribution (i.e. the same probability mass function) but satisfy X(w) #Y(w) for all w€ 2.
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