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)0.329680
B)0.670320
C)0.917915
D)0.082085

Question

Quizplus · Accepted Answer

The exponential distribution's probability density function is given by f(x;θ) = (1/θ) * e^(-x/θ). The probability that more than 25 minutes will pass is P(X > 25) = e^(-25/10) = e^(-2.5) ≈ 0.082085.

The Time Between Arrivals at an ATM Machine Follows an Exponential