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Arrivals at a bank are Poisson distributed with a mean arrival rate of two arrivals every...

Arrivals at a bank are Poisson distributed with a mean arrival rate of two arrivals every five minutes.

a) What is the probability of exactly two arrivals in the next four minutes?

b) Assuming that the previous arrival came to the bank 10 minutes ago (with no arrivals since then), what is the probability that the time to next arrival will be greater than 1 minute?

Math   Statistics-And-Probability   
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