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2. Customers arrive to a restaurant drive-through according to a Poisson process with a rate of 15 customers per hour. a. Suppose there are currently
2. Customers arrive to a restaurant drive-through according to a Poisson process with a rate of 15 customers per hour. a. Suppose there are currently no customers in line. What is the probability that the no customer will arrive in the next 4 minutes? b. Suppose you have been waiting for 2 minutes with no customers. What is the probability that no customer will arrive in the next 2 minutes? c. Ten percent of customers have a complaint about their order. What is the probability that 10 or fewer customers have a complaint in an 8-hour shift? d. It takes an average of 3 minutes to serve a customer, and the time follows an exponential distribution. When a customer just starts service, what is the probability that the service is completed before the next customer arrives
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