The Department of Motor Vehicles (DMV)can service customers at a rate of 20 per hour (or 1/3 per minute)when it comes to license renewals.The service time follows an exponential distribution.What is the probability that it will take less than 3 minutes for a particular customer to get a license renewal?
A)0.5
B)0
C)1
D)0.368
E)0.632

Question

Quizplus · Accepted Answer

The exponential distribution's probability density function is given by P(T < t) = 1 - e^(-λt). Here, λ = 1/3 per minute, and t = 3 minutes. So, P(T < 3) = 1 - e^(-1) ≈ 0.632.

The Department of Motor Vehicles (DMV)can Service Customers at a Rate