Question: A busy restaurant determined that between 6:30 P.M. and 9:00 P.M. on Friday nights, the arrivals of customers are Poisson distributed with an average arrival

A busy restaurant determined that between 6:30 P.M. and 9:00 P.M. on Friday nights, the arrivals of customers are Poisson distributed with an average arrival rate of 2.44 per minute.

a. What is the probability that at least 10 minutes will elapse between arrivals?

b. What is the probability that at least 5 minutes will elapse between arrivals?

c. What is the probability that at least 1 minute will elapse between arrivals?

d. What is the expected amount of time between arrivals?

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