Consider a Poisson process (N(t))+20 with A = 1.1. Compute the following: a) P(N(3) = 1; N(3.5) = 4; N(5) = 5) × 10¹ : = b) P(N (3.5). N(5) = 2) = c) P(N(3) + N(3.5) = 0) = d) P (N(3) + N(3.5) = 1) =

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Consider a Poisson process (N(t))t≥0 with A
-
Compute the following:
a) P(N(3) = 1; N(3.5)=4; N(5)= 5) × 10* .
=
b) P(N(3.5) · N(5) = 2) =
c) P(N(3) + N(3.5) = 0) =
=
d) P(N(3) + N(3.5) = 1) =
1.1.
e) P (N(3) + N(3.5) = 2) =
Transcribed Image Text:Consider a Poisson process (N(t))t≥0 with A - Compute the following: a) P(N(3) = 1; N(3.5)=4; N(5)= 5) × 10* . = b) P(N(3.5) · N(5) = 2) = c) P(N(3) + N(3.5) = 0) = = d) P(N(3) + N(3.5) = 1) = 1.1. e) P (N(3) + N(3.5) = 2) =
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