The time between customer arrivals at a furniture store has an approximate exponential distribution with mean θ = 8.5 minutes. If a customer just arrived, find the probability that the next customer will not arrive for at least 20 minutes.
A) 0.095089
B) 0.653770
C) 0.904911
D) 0.346230

Question

Quizplus · Accepted Answer

The probability that the next customer will not arrive for at least 20 minutes is given by the exponential distribution's survival function: P(X > 20) = e^(-20/8.5) ≈ 0.095089.

The Time Between Customer Arrivals at a Furniture Store Has