Example 5.1.9 Let X and Y be independent variates withe-"aP(X j) =j!%3De-PBi ] = 0, 1, 2, ...; a, ß > 0P(Y = j) =!Find P(X + Y = j) and hence show that%DVar(X + Y) = a +B

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Answered: Example 5.1.9 Let X and Y be…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 5E

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Example 5.1.9 Let X and Y be independent variates with e-"a! P(X j) %3D j! j= 0, 1, 2, ...; a, ß > 0 P(Y = j) = j! Find P(X + Y = j) and hence show that %3D Var(X + Y) = a + B %3D