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As the assistant bank manager, you want to provide prompt service for customers at your bank's...

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Statistics

As the assistant bank manager, you want to provide promptservice for customers at your bank's drive thru window. The bankcan currently serve up to 10 customers per 15-minute period withoutsignificant delay. The average arrival rate is 7 customers per15-minute period. Let x denote the number of customers arriving per15-minute period. Assume this is a Poisson distribution.

a. Find the probability that 10 customers will arrive in aparticular 15-minute period.
b. Find the probability that 10 or fewer customers will arrive in aparticular 15-minute period.
c. Does your own personal bank have prompt service? Are there waysthat your bank can improve their customer service? How?

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