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

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) (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

RELATED QUESTIONS
The time between arrivals of taxis at a busy intersection is exponentially distributed... (answered by Boreal)

The time between arrivals of taxis at a busy intersection is exponentially distributed... (answered by Boreal)

Suppose that you have already been waiting for one hour for a taxi. What is the... (answered by htmentor)

Suppose that you have already been waiting for one hour for a taxi. What is the... (answered by ikleyn)

Waiting for a train or a bus that arrives every 30 minutes. What would be the... (answered by Fombitz)

2) A nursery advertises that it has 16 elm trees for sale. Unknown to the nursery, 5 of... (answered by reviewermath)

A bus comes by every 7 minutes. The times from when a person arives at the bus stop until (answered by Boreal,ewatrrr)

A bus comes by every 8 minutes. The times from when a person arives at the busstop until... (answered by ikleyn)

A bus comes by every 11 minutes. The times from when a person arives at the busstop until (answered by ikleyn)