SOLUTION: 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? The time between arrivals of taxis at a busy

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Question 1131712: 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? The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 26.23 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!
It is still going to be 9 minutes regardless of the prior wait.
mean=1/26.23=0.038
Probability x>9 is e^(-9*0.038), so probability x<9 is 1-e^(-9*0.038)
e^(-9x)=e^(-0.342)=0.7103. The complement is 0.2897, ANSWER
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