Prove the propoerty Property 4. If X is a random variable and a and b are constants, thenE (a X + b) = a E (X) + b,%3Dprovided all the expectations exist.

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Answered: Property 4. If X is a random variable…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 29E

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If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the expected value of this game is E=0.9+0.1= .
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Property 4. If X is a random variable and a and b are constants, then E (a X + b) = a E (X) + b, provided all the expectations exist.