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). Q5 (ίv.) P(N(2) + N(5) -4). 05 (v.) EΝ(5) - 2N (6) + 3N(10)]. Q5(vi.) Var[N(5) – 2N(6)+ 3N(10)]. Q5 vii.) Coν |N (5) -2NΝ (6), 3N(10)]
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). Q5 (ίv.) P(N(2) + N(5) -4). 05 (v.) EΝ(5) - 2N (6) + 3N(10)]. Q5(vi.) Var[N(5) – 2N(6)+ 3N(10)]. Q5 vii.) Coν |N (5) -2NΝ (6), 3N(10)]
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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Could you solve (ii), (iii), (iv)?
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![Q5 Let {N(t), t > 0} be a Poisson process with rate = 2. Compute
Q5 (i.) 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).
Q5 ίv.) P(N(2) + N(5) = 4).
Q5(v.) E[N(5) – 2N(6)+3N(10)].
Q5 (vi.) Var[N(5) – 2N(6) +3N(10)].
Q5 (vii.) Cov[N(5) – 2N(6),3N(10)].
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Transcribed Image Text:Q5 Let {N(t), t > 0} be a Poisson process with rate = 2. Compute
Q5 (i.) 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).
Q5 ίv.) P(N(2) + N(5) = 4).
Q5(v.) E[N(5) – 2N(6)+3N(10)].
Q5 (vi.) Var[N(5) – 2N(6) +3N(10)].
Q5 (vii.) Cov[N(5) – 2N(6),3N(10)].
|
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