5.3.5 Let X(t) be a Poisson process of rate per hour. Find the conditional probability that there were m events in the first t hours, given that there were n events in the first 7 hours. Assume 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 65E
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5.3.5 Let X(t) be a Poisson process of rate per hour. Find the conditional probability
that there were m events in the first t hours, given that there were n events in the
first 7 hours. Assume 0 <m<n and 0 <t<T.
Transcribed Image Text:5.3.5 Let X(t) be a Poisson process of rate per hour. Find the conditional probability that there were m events in the first t hours, given that there were n events in the first 7 hours. Assume 0 <m<n and 0 <t<T.
n-m
5.3.5
()()" (1-4), m=0,1,..., n.
Transcribed Image Text:n-m 5.3.5 ()()" (1-4), m=0,1,..., n.
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