Exercise 5 (10pts) Demands on a first aid facility in a certain location occur according to a nonhomogeneous Poisson process having the rate function 2t for 0≤t<1 λ(t) = 2 for 1≤t<2 4-t for 2≤t≤4 where t is measured in hours from the opening time of the facility. What is the probability that two demands occur in the first two hours of operation?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Exercise 5 (10pts)
Demands on a first aid facility in a certain location occur according to a nonhomogeneous
Poisson process having the rate function
2t
for 0≤t<1
λ(t)
= 2
for 1≤t<2
4-t for 2≤t≤4
where t is measured in hours from the opening time of the facility.
What is the probability that two demands occur in the first two hours of operation?
Transcribed Image Text:Exercise 5 (10pts) Demands on a first aid facility in a certain location occur according to a nonhomogeneous Poisson process having the rate function 2t for 0≤t<1 λ(t) = 2 for 1≤t<2 4-t for 2≤t≤4 where t is measured in hours from the opening time of the facility. What is the probability that two demands occur in the first two hours of operation?
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