A medical clinic opens at 9:00 am and then patients arrive according to a Poisson process with rate .083 patients per minute. (a) What is the probability that five patients arrive by 10:00 am? (b) Suppose we are still waiting for the first patient at 9:15 am, what is the probability that no patients have arrived by 9:30? (c) What is expected time and variance of the 10th patient to arrive?

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