Question

The arrival of insurance claims follows a Poisson distribution with a rate of 7.6 claims per hour.

1) Find the probability that there are no claims during 10 minutes

2) Find the probability that there are at least two claims during 30 minutes

3) Find the probability that there are no more than one claim during 15 minutes

4) Find the expected number of claims during a period of 2 hours

Answer #1

2. The arrival of insurance claims follows a Poisson
distribution with a rate of 7.6 claims per hour.
a) Find the probability that there are no claims during 10
minutes.
b) Find the probability that there are at least two claims
during 30 minutes.
c) Find the probability that there are no more than one claim
during 15 minutes.
d) Find the expected number of claims during a period of 2
hours. (5)

2. The arrival of insurance claims follows a Poisson
distribution with a rate of 7.6 claims per hour.
a) Find the probability that there are no claims during 10
minutes. (10)
b) Find the probability that there are at least two claims
during 30 minutes. (10)
c) Find the probability that there are no more than one claim
during 15 minutes. (10)
d) Find the expected number of claims during a period of 2
hours. (5)

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