Answered: Suppose that X and Y are discrete…

Suppose that X and Y are discrete random variables on the probability space (Q.F.P). Show that E[aX] = aE[X] and E[X+Y] = E[X] + E[Y].

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

Suppose that X and Y are discrete random variables on the probability space (Q.F.P).
Show that E[aX] = aE[X] and E[X+Y] = E[X] + E[Y].

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