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

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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) About Me  (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.
graph%28300%2C300%2C-5%2C50%2C-1.5%2C1.5%2Ce%5E%28-0.0381x%29%29