Poisson process {N(t) : t> 0} is a Poisson process with rate A = 3. We write Sn for the time of the n-thevent, n > 1.Calculate:(a) E(S6|N(1) = 3),(b) P(N(2) > 2),(c) Var(3N(10) – 7N(5)).

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Description: Poisson process {N(t) : t> 0} is a Poisson process with rate A = 3. We write Sn for the time of the n-thevent, n > 1.Calculate:(a) E(S6|N(1) = 3),(b) P(N(2) > 2),(c) Var(3N(10) – 7N(5)).

Given: {N(t) : t>0 } is Poisson process with rate λ=3, we can write Sn for the nth event, n⩾ 1…

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{N(t):t>0} is a Poisson process with rate = 3. We write Sn for the time of the n-th event, n > 1. Calculate: (a) E(S6|N(1) = 3), (b) P(N(2) > 2), (c) Var(3N(10) – 7N(5)).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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