SOLUTION: The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 26.23 minutes. Suppose that you have already been waiting for one hour for a t

Question 1131590: The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 26.23 minutes. Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 9 minutes?

(Please enter your answers as fractions in lowest terms or as decimals rounded to four decimal places. Thank you!)

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
mean is 1/26.23 or 0.0381 minutes
in the next 9 minutes is still the relevant time
P(x<9) is 1-e^(-9*0.0381)=0.2903.

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