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There is a machine at the coffee bar in the student center that permits a student...

There is a machine at the coffee bar in the student center that permits a student
to place an order for a coffee drink via their cell phone. The machine produces paper tickets for
the baristas following a Poisson process at a rate of 2 orders per minute during the morning hours
(8:00a through 11:00a). What is the probability that exactly 360 orders will appear between 8:00a
and 11:00a with exactly 6 of them appearing between 10:30a and 11:00a?

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