2.21. Let X and Y be independent Bernoulli (1/2) random variables. Let Z - (Y – X)². What is the distribution of Z? Show that Z and X are independent. Show that Z and Y are also independent, but that X, Y and Z are not independent.
2.21. Let X and Y be independent Bernoulli (1/2) random variables. Let Z - (Y – X)². What is the distribution of Z? Show that Z and X are independent. Show that Z and Y are also independent, but that X, Y and Z are not independent.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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