The average length of time between arrivals at a turnpike tollbooth is 23 seconds. Assume that the time between arrivals at the tollbooth is exponentially distributed. (a) What is the probability that a minute or more will elapse between arrivals? (b) If a car has just passed through the tollbooth, what is the probability that no car will show up for at least 3 minutes?

Question

The average length of time between arrivals at a turnpike tollbooth is 23 seconds. Assume that the time between arrivals at the tollbooth is exponentially distributed.  (a) What is the probability that a minute or more will elapse between arrivals? (b) If a car has just passed through the tollbooth, what is the probability that no car will show up for at least 3 minutes?

anonymous · Answer

do you know what the underlying probability distribution is? (this is slightly more advanced than an introductory probability/stats class material)