The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. a) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 10 minutes? b) Determine x such that the probability that you wait more than 10 minutes is 0.10?

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The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of
10 minutes.
a) Suppose that you have already been waiting for one hour for a taxi. What is the probability that
one arrives within the next 10 minutes?
b) Determine x such that the probability that you wait more than 10 minutes is 0.10?
c) Find the probability distribution of the number of taxis for 10 minutes.

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