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)0.555306
C)0.182684
D)0.817316

Question

Quizplus · Accepted Answer

The exponential distribution is given by the formula $P(X \leq x) = 1 - e^{-\frac{x}{\theta}}$, where $\theta$ is the mean. Plugging in $x = 5$ minutes and $\theta = 8.5$ minutes, we get $P(X \leq 5) = 1 - e^{-\frac{5}{8.5}} \approx 0.444694$.

The Time Between Customer Arrivals at a Furniture Store Has