4. 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) If your friend had already been waiting since half an hour behind you, would the probability that it arrives within the next 10 minutes be the same as that of your case. Explain your answer.

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