If arrivals occur at a mean rate of 3.6 events per hour, the exponential probability of waiting more than 0.5 hour for the next arrival is:
A).2407.
B).1653.
C).1222.
D).5000.

Question

Quizplus · Accepted Answer

The exponential probability distribution function is given by P(x) = λe^(-λ*x), where λ is the arrival rate.
Here, λ = 3.6 events per hour.

The probability of waiting more than 0.5 hour for the next arrival can be calculated as:
P(X > 0.5) = e^(-λ*0.5)

= e^(-3.6*0.5)

= 0.1653 (rounded to four decimal places)

Therefore, the best choice is B) 1653.

If Arrivals Occur at a Mean Rate of 3