The time between arrivals at an ATM machine follows an exponential distribution with θ = 10 minutes. Find the probability that less than 25 minutes will pass between arrivals.
A) 0.917915
B) 0.670320
C) 0.329680
D) 0.082085

Question

Quizplus · Accepted Answer

The exponential distribution with parameter θ = 10 minutes has a cumulative distribution function (CDF) given by F(x) = 1 - e^(-x/θ). For x = 25, F(25) = 1 - e^(-25/10) = 1 - e^(-2.5) ≈ 0.917915.

The Time Between Arrivals at an ATM Machine Follows an Exponential