# Question

Lunch customers arrive at a Noodles & Company restaurant at an average rate of 2.8 per minute. De ne X to be the number of customers to arrive during a randomly selected minute during the lunch hour and assume X has a Poisson distribution.

(a) Calculate the probability that exactly five customers will arrive in a minute during the lunch hour.

(b) Calculate the probability that no more than five customers will arrive in a minute.

(c) What is the average customer arrival rate for a 5-minute interval?

(d) What property of the Poisson distribution did you use to find this arrival rate?

(a) Calculate the probability that exactly five customers will arrive in a minute during the lunch hour.

(b) Calculate the probability that no more than five customers will arrive in a minute.

(c) What is the average customer arrival rate for a 5-minute interval?

(d) What property of the Poisson distribution did you use to find this arrival rate?

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