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Let Z = X + Y. 1. Find the expectation E[Z]. E[Z] = 8.1667

Let Z = X + Y. 1. Find the expectation E[Z]. E[Z] = 8.1667

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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How was the correct answer of 8.1667 attained?

Suppose the joint PMF of the random variables X and Y is P(X= x, Y = y) Let Z = X + Y. 1. Find the expectation E[Z]. E[Z]=8.1667 = x+y 72 if(x, y) {5,6,7} × {1, 2, 3}, 0 Otherwise.
Transcribed Image Text:Suppose the joint PMF of the random variables X and Y is P(X= x, Y = y) Let Z = X + Y. 1. Find the expectation E[Z]. E[Z]=8.1667 = x+y 72 if(x, y) {5,6,7} × {1, 2, 3}, 0 Otherwise.
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