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

Question

Quizplus · Accepted Answer

The probability that more than 25 minutes will pass is given by the survival function of the exponential distribution: P(X > x) = e^(-x/θ). Here, x = 25 and θ = 10, so P(X > 25) = e^(-25/10) = e^(-2.5) ≈ 0.082085.

The Time Between Arrivals at an ATM Machine Follows an Exponential