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1. The number of arrivals at a local post office between 3:00 and 5:00 P.M. has a Poisson distribution with a mean of 12. Find

1. The number of arrivals at a local post office between 3:00 and 5:00 P.M. has a Poisson distribution with a mean of 12.

Find the probability that the number of arrivals between 3:00 and 5:00 P.M. is at least 10.

Answer is 0.7576

2. The number of arrivals at a local post office between 3:00 and 5:00 P.M. has a Poisson distribution with a mean of 12.

Find the probability that the number of arrivals between 3:30 and 4:00 P.M. is at least 10.

Ans is 0.0011

3. The number of arrivals at a local post office between 3:00 and 5:00 P.M. has a Poisson distribution with a mean of 12.

Find the probability that the number of arrivals between 4:00 and 5:00 P.M. is exactly two.

Ans is 0.0446

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