Question

The number of customers that enter a Starbucks follows a Poisson distribution with an average of...

The number of customers that enter a Starbucks follows a Poisson distribution with an average of 2 customers every 15 minutes.
(a) What is the probability that on the next hour at least six customers enter this Starbucks?
(b) Assuming that a customer just walked in, what is the probability that the next customer walks in after 15 minutes?
(c) Suppose 5% of people who pass this Starbucks enter for a coffee. What are the chances that among the next 50 passengers, at least 5 enter for coffee?

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