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 arrive in the next 5 minutes.
A) 0.444694
B) 0.817316
C) 0.555306
D) 0.182684

Question

Quizplus · Accepted Answer

The probability that the next customer arrives within 5 minutes is given by the cumulative distribution function (CDF) of the exponential distribution: P(X ≤ 5) = 1 - e^(-5/8.5) ≈ 0.444694.

The Time Between Customer Arrivals at a Furniture Store Has