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In: Statistics and Probability

The number of actual fire emergencies (emergencies where there is actually a fire) per week as...

The number of actual fire emergencies (emergencies where there is actually a fire) per week as the fire service
in Stavanger can be described with a Poisson distribution with parameter λ = 1.8.

a) What is the probability of exactly three calls in a week?

What is the probability of more than three calls in a week?

What is the probability of at least an emergency during one day?

What is the expected number of calls in a year?

The time, measured in number of days, that passes between two subsequent real fire calls is exponentially distributed with parameter λ = 1.8 / 7 = 0.26 (the time between subsequent events in a Poisson process is exponentially distributed).

b) What is the expected number of days between two consecutive calls?
What is the probability that there will be more than 1 day between two consecutive calls?
What is the probability that there will be less than 2 days between two consecutive calls?
What is the probability that there will be between 1 and 2 days between two subsequent calls?

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orchestra answered 2 years ago
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