If arrivals occur at a mean rate of 2.6 events per minute, the exponential probability of waiting more than 1.5 minutes for the next arrival is:
A).0202.
B).0122.
C).0535.
D).2564.

Question

Quizplus · Accepted Answer

The exponential probability of waiting more than t minutes for the next arrival is given by P(T > t) = e^(-λt), where λ is the mean arrival rate. In this case, λ = 2.6 events per minute and t = 1.5 minutes, so P(T > 1.5) = e^(-2.6 * 1.5) = 0.0202.

If Arrivals Occur at a Mean Rate of 2