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Problem 6. According to recently released bicycle safety date, the average number of bicycle accidents on...

Problem 6. According to recently released bicycle safety date, the average number of bicycle accidents on UCSB campus come in at 32 per week. This might seem high, but keep in mind there are around 20,000 bicycles on campus on an average day. Further analysis by the PSTAT department has determined that the accidents do indeed follow a Poisson distribution.

a. For a given week, what is the probability that there will be exactly 32 accidents?

b. For a given week, what is the probability there will be between 25 and 27 accidents?

c. For a given month, what is the probability there will be exactly 100 accidents?

Math   Statistics-And-Probability   
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