The time between arrivals at the game room in the student union is exponential, with mean 10

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The time between arrivals at the game room in the student union is exponential, with mean 10 minutes.

(a) What is the arrival rate per hour?

(b) What is the probability that no students will arrive at the game room during the next 15 minutes?

(c) What is the probability that at least one student will visit the game room during the next 20 minutes?

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