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et Tn be the arrival time of the n-th event. Find a.) E(T5) b.) E(T6|N(1) = 5) c.) E(

et Tn be the arrival time of the n-th event. Find a.) E(T5) b.) E(T6|N(1) = 5) c.) E(

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 71E
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N = (N(t): t≥ 0) be a Poisson process with constant rate 3. Let Tn be the arrival time of the n-th event. Find a.) E(T5) b.) E(T6|N(1) = 5) c.) E(T2|N(1) = 5) d.) E(N(5) N(2) | N(1) = 5) e.) E(N(5) N(2) | N(3) = 5).
Transcribed Image Text:N = (N(t): t≥ 0) be a Poisson process with constant rate 3. Let Tn be the arrival time of the n-th event. Find a.) E(T5) b.) E(T6|N(1) = 5) c.) E(T2|N(1) = 5) d.) E(N(5) N(2) | N(1) = 5) e.) E(N(5) N(2) | N(3) = 5).
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