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!)
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