Answered: 3 Suppose X ~ Po(2) and Y ~ Po(3) are…

3 Suppose X ~ Po(2) and Y ~ Po(3) are independent Poisson random variables. a Find P(X +Y =4). b Write an expression for P(Y

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

3 Suppose X ~ Po(2) and Y ~ Po(3) are independent Poisson random variables.
a Find P(X +Y = 4).
6 Write an expression for P(Y <in (X+Y) = 4) in terms of probabilities of X and Y only.
c Hence calculate P(Y <1n (X +Y) = 4).
d Find P(Y < 1|(X +Y)= 4).

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