Q5 Let {N(t),t > 0} be a Poisson process with rate A= 2. Compute Q5 (1.) P(N(5) = 4, N(6) = 9, N(10) = 15). Q5 (ii.) P(N(5) – N(2) = 3). Q5(ii.) P(N(5) – N(2) = 3, N(7) – N(6) = 4).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 28E
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Q5 Let {N(t),t > 0} be a Poisson process with rate A = 2. Compute
Q5 (i.) P(N(5) = 4, N(6) = 9, N(10) = 15).
Q5 (ii.) P(N(5) – N(2) = 3).
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Q5(iii.) P(N(5) – N(2) = 3, N(7) – N(6) = 4).
%3D
Q5 (ίv.) P (N(2) + N(5) -4).
05 ν.) E[Ν(5) -2N() +3N (10)].
Q5(vi.) Var[N(5) – 2N(6)+3N(10)].
Q5(vii.) Cov[N(5) – 2N(6), 3N(10)].
Transcribed Image Text:Q5 Let {N(t),t > 0} be a Poisson process with rate A = 2. Compute Q5 (i.) P(N(5) = 4, N(6) = 9, N(10) = 15). Q5 (ii.) P(N(5) – N(2) = 3). - Q5(iii.) P(N(5) – N(2) = 3, N(7) – N(6) = 4). %3D Q5 (ίv.) P (N(2) + N(5) -4). 05 ν.) E[Ν(5) -2N() +3N (10)]. Q5(vi.) Var[N(5) – 2N(6)+3N(10)]. Q5(vii.) Cov[N(5) – 2N(6), 3N(10)].
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