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EXY] = E[X]E[Y]. 1}) and U~U({-1,1}) are independent. Let Y = XU. e uncorrelated. e not independent.

EXY] = E[X]E[Y]. 1}) and U~U({-1,1}) are independent. Let Y = XU. e uncorrelated. e not independent.

A First Course in Probability (10th Edition)
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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a) Give a condition on two variables X and Y such that E[XY] = E[X]E[Y]. Suppose that X ~U({−1,0, 1}) and U ~U({−1,1}) are independent. Let Y = XU. b) Show that X and Y are uncorrelated. c) Show that X and Y are not independent.
Transcribed Image Text:a) Give a condition on two variables X and Y such that E[XY] = E[X]E[Y]. Suppose that X ~U({−1,0, 1}) and U ~U({−1,1}) are independent. Let Y = XU. b) Show that X and Y are uncorrelated. c) Show that X and Y are not independent.
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