Suppose X1, X2 are i.i.d. random variables, each uniformly distributed on {−1, 0, 1}. Find the probability function for X1 + X2. That is, find P(X1 + X2 = k), for k = −2, ..., 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Suppose X1, X2 are i.i.d. random variables, each uniformly distributed on {−1, 0, 1}. Find the probability function for X1 + X2. That is, find P(X1 + X2 = k), for k = −2, ..., 2.
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