For a non-homogeneous Poisson process, the intensity function is given by           λ(t) = 5 if t is in (1, 2] or (3, 4];           λ(t) = 3 if t is in (0, 1] or  (2, 3].  Find the pr

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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For a non-homogeneous Poisson process, the intensity function is given by

          λ(t) = 5 if t is in (1, 2] or (3, 4];

          λ(t) = 3 if t is in (0, 1] or  (2, 3]. 

Find the probability that the number number of observed occurrences in the time period (1.5; 4] is more than 2. Round answer to 4 decimals.

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