The time between arrivals at an ATM machine follows an exponential distribution with θ = 10 minutes. Find the probability that between 15 and 25 minutes will pass between arrivals.
A)0.082085
B)0.305215
C)0.223130
D)0.141045

Question

Quizplus · Accepted Answer

The probability that the time between arrivals is between 15 and 25 minutes is given by the difference of the cumulative distribution function (CDF) of the exponential distribution: P(15 < X < 25) = e^(-15/10) - e^(-25/10) = 0.141045.

The Time Between Arrivals at an ATM Machine Follows an Exponential