Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute.The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately _________
A) 0.05
B) 0.75
C) 0.25
D) 0.27
E) 0.73

Question

Quizplus · Accepted Answer

The probability that it takes more than 12 seconds for the first inquiry to arrive is given by the exponential distribution with parameter 15 inquiries per minute. The probability that it takes more than 12 seconds is given by:P(X > 12) = e^(-15 * 12/60) = 0.27

Inquiries Arrive at a Record Message Device According to a Poisson