The average time between phone calls arriving at a call center is 30 seconds.Assuming that the time between calls is exponentially distributed, find the probability that more than a minute elapses between calls.
A)0.135
B)0.368
C)0.865
D)0.607
E)0.709

Question

Quizplus · Accepted Answer

The probability that more than a minute elapses between calls is equal to the probability that the time between calls is greater than 60 seconds. The time between calls is exponentially distributed with a mean of 30 seconds, so the probability that the time between calls is greater than 60 seconds is given by:P(X > 60) = e^(-60/30) = e^(-2) = 0.135Therefore, the probability that more than a minute elapses between calls is 0.135.

The Average Time Between Phone Calls Arriving at a Call