The number of real fire calls (calls where there is actually a fire) per week that the fire service in Stavanger has can be described with a Poisson distribution with parameter λ = 1.8. a) What is the probability of exactly three calls during a week? What is the probability of more than three calls during a week? What is the probability of at least one call out during one day? What is the expected number of call-outs during one year?
The number of real fire calls (calls where there is actually a fire) per week that the fire service in Stavanger has can be described with a Poisson distribution with parameter λ = 1.8. a) What is the probability of exactly three calls during a week? What is the probability of more than three calls during a week? What is the probability of at least one call out during one day? What is the expected number of call-outs during one year?
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![Question 6
The number of real fire calls (calls where there is actually a fire) per week that the fire service in
Stavanger has can be described with a Poisson distribution with parameter λ = 1.8.
a) What is the probability of exactly three calls during a week?
What is the probability of more than three calls during a week?
What is the probability of at least one call out during one day?
What is the expected number of call-outs during one year?
The time, measured in days, between two subsequent real fire calls is exponentially distributed with
parameter λ = 1.8/7 = 0.26 (remember that the time between subsequent events in a Poisson
process is exponentially distributed).
b) What is the expected number of days between two subsequent calls?
What is the probability that more than 1 day passes between two subsequent calls?
What is the probability that less than 2 days elapse between two subsequent calls?
What is the probability that between 1 and 2 days pass between two subsequent calls?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1be6e21c-a409-44e1-b92f-adc766a3532f%2F9de83480-1595-43dd-9a4f-ec7aea38571e%2Faidn4fk_processed.png&w=3840&q=75)
Transcribed Image Text:Question 6
The number of real fire calls (calls where there is actually a fire) per week that the fire service in
Stavanger has can be described with a Poisson distribution with parameter λ = 1.8.
a) What is the probability of exactly three calls during a week?
What is the probability of more than three calls during a week?
What is the probability of at least one call out during one day?
What is the expected number of call-outs during one year?
The time, measured in days, between two subsequent real fire calls is exponentially distributed with
parameter λ = 1.8/7 = 0.26 (remember that the time between subsequent events in a Poisson
process is exponentially distributed).
b) What is the expected number of days between two subsequent calls?
What is the probability that more than 1 day passes between two subsequent calls?
What is the probability that less than 2 days elapse between two subsequent calls?
What is the probability that between 1 and 2 days pass between two subsequent calls?
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