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The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean...

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes.

(i) What is the probability that you wait longer than one hour for a taxi?

(ii) 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?

(iii) Determine x such that the probability that you wait more than x minutes is 0.10.

(iv) Determine x such that the probability that you wait less than x minutes is 0.90.

Math   Statistics-And-Probability   
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