Answered: Let X and Y be two discrete random…

Math

Probability

Let X and Y be two discrete random variables. We define Z = X+ Y, i.e. Vw e Ω,Ζ(ω) = X(ω) + Y (ω) .

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Question

Please explain if we can use conditional for X|Y or marginal for Z or if there is different approach.

kindly if possible to use more than one approach, would be great.

Let X and Y be two discrete random variables. We define Z = X + Y , i.e. Vw E
Ω,Ζ(ω) - X(ω) + Y(ω).
i) Show that:
P(Z = z) = } fx,x(x, z – x)

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