Problem 2 The number of accidents that occur at a certain intersection follows a Poisson process with an average rate of 2 accidents per week. • Calculate the probability that exactly 3 accidents occur at the intersection in a given week. (Poisson) . Find the probability that the time between two consecutive accidents is at most 1 week. (Exponential) • What is the expected value of number of accidents in a 4 week period.

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Problem 2
The number of accidents that occur at a certain intersection follows a Poisson
process with an average rate of 2 accidents per week.
• Calculate the probability that exactly 3 accidents occur at the intersection
in a given week. (Poisson)
● Find the probability that the time between two consecutive accidents is
at most 1 week. (Exponential)
• What is the expected value of number of accidents in a 4 week period.
Transcribed Image Text:Problem 2 The number of accidents that occur at a certain intersection follows a Poisson process with an average rate of 2 accidents per week. • Calculate the probability that exactly 3 accidents occur at the intersection in a given week. (Poisson) ● Find the probability that the time between two consecutive accidents is at most 1 week. (Exponential) • What is the expected value of number of accidents in a 4 week period.
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