SOLUTION: 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 te

Algebra ->  Probability-and-statistics -> SOLUTION: 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 te      Log On


   

Question 1131614: 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!)



a. 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?
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