The transportation manager for the State of New Jersey has determined that the time between arrivals at a toll booth on the state's turnpike is exponentially distributed with λ = 4 cars per minute. Based on this, the average time between arrivals is:
A) 15 seconds.
B) 12 seconds.
C) 25 seconds.
D) 4 minutes.

Question

Quizplus · Accepted Answer

The average time between arrivals for an exponential distribution is given by 1/λ. Given λ = 4 cars per minute, the average time between arrivals is 1/4 minute per car, which is 0.25 minutes per car. Since there are 60 seconds in a minute, this converts to 0.25 * 60 = 15 seconds.

The Transportation Manager for the State of New Jersey Has