4. A small airport has flights to only two cities, A and B. Suppose they get...

4. A small airport has flights to only two cities, A and B. Suppose they get an average of 40 customers per
hour who want to fly to city A and 30 customers per hour who want to fly to city B. If these are independent
Poisson processes, then find the probability that
a) (3 pts) there are 7 or more customers who want to fly to city A in the next 6 minutes. Give your answer
to three decimal places.
b) (3 pts) 5 out of the next 8 customers want to fly to city A. Give your answer to three decimal places.
c) (3 pts) if 15 customers who want to fly to city B arrive in the next 30 minutes, then find the probability
that exactly four of them arrived in the first 5 minutes. Give your answer to three decimal places.

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Expert Solution

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orchestra answered 1 year ago

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