The waiting time (in minutes) between ordering and receiving your meal at a certain restaurant is exponentially distributed with a mean of 10 minutes. The restaurant has a policy that your meal is free if you have to wait more than 25 minutes after ordering. What is the probability of receiving a free meal?
A) 0.917915
B) 0.329680
C) 0.082085
D) 0.670320

Question

Quizplus · Accepted Answer

The mean of an exponential distribution is the inverse of the rate parameter, λ. Here, λ = 1/10. The probability of waiting more than 25 minutes is given by P(X > 25) = e^(-λ*25) = e^(-25/10) = e^(-2.5) ≈ 0.082085.

The Waiting Time (In Minutes) Between Ordering and Receiving Your