Let the time between two consecutive arrivals at a grocery store checkout line be exponentially distributed with a mean of three minutes. Find the probability that the next arrival does not occur until at least four minutes have passed since the last arrival.
A) 0.0000
B) 0.2636
C) 0.4724
D) 0.7364

Question

Quizplus · Accepted Answer

The probability that the next arrival does not occur until at least four minutes have passed since the last arrival is given by the exponential distribution function:P(X > 4) = e^(-4/3) = 0.2636

Let the Time Between Two Consecutive Arrivals at a Grocery