Drivers arrive at a toll booth at a rate of 3 per minute during peak traffic periods. The time between consecutive driver arrivals follows an exponential distribution. What is the probability that takes more than 1/3 of a minute between consecutive drivers?
A) 0.632
B) 0.111
C) 0.368
D) 0.632.
E) Not enough information given

Question

Quizplus · Accepted Answer

The rate parameter (λ) for the exponential distribution is 3 per minute. The probability that the time between arrivals is more than 1/3 of a minute is given by P(X > 1/3) = e^(-λ * 1/3) = e^(-1) ≈ 0.368.

Drivers Arrive at a Toll Booth at a Rate of 3