Question

Suppose that the lenghth between 911 calls to a ceration police stattion is exponentially distribution with an average of 5 minutes between calls. What is the probability that they receive 10 calls in the next hours?

Answer 1

0.1048

Explanation:

The computation of probability that they receive 10 calls in the next hours is shown below:-

Average which is given in the question 5 minutes between calls = 5/60 calls an hour so it becomes 12 calls per hour

So,

P(X = 10)

`= (e^(-12)12^(10))/(10!)`

= 0.1048

Therefore for computing the probability that they receive 10 calls in the next hours we simply applied the above formula.