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A bank is evaluating their staffing policy to assure that they have sufficient staff for their...

A bank is evaluating their staffing policy to assure that they have sufficient staff for their drive-up window during the lunch hour. The number of people that arrive at the window in a 15-minute period follows a Poisson process with a mean number of arrivals of 5.

1.Someone just arrived. What is the probability that the next customer arrives within 4 minutes?

2.Someone just arrived. What is the probability that the next customer arrives after 2 minutes?

3.Someone just arrived. What is the probability that the next customer arrives between 2.5 and 4.5 minutes?

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