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

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