-1 1/6 1/6
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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Question
Transcribed Image Text:The joint probability mass function for two discrete random variables X and
Y are given as follows:
-1
1
y
1/6
1
1/6
1/6
1/6
2
1/6
1/6
(a) Show that X and Y are not independent.
(b) Compute E(XY),EX, and EY, and check that E(XY) = (EX)·(EY).
Remark: This example shows that satisfying E(XY)= (EX)· (EY) does not imply
that X and Y are independent.
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