Problem 5Let N₁ (t) and N₂ (t) be two independentPoisson processes with rate ₁ and ₂respectively. Let N(t) = N₁ (t) + N₂ (t) be themerged process. Show that given N(t) = n,N₁ (t) ~ Binomial (n,1₂).Note: We can interpret this result asfollows: Any arrival in the merged processandbelongs to N₁ (t) with probabilitybelongs to N₂(t) with probabilityindependent of other arrivals.X₁X₁ + A₂12X₁ + X2

To show that given we can use the properties of Poisson processes.Let's define some variables:N1(t)…

Answered: Problem 5 Let N₁ (t) and N₂ (t) be two…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

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