Question

Suppose that the logons to a computer network follow a Poisson process with an average of 3 logons per minute. (a) What is the mean time between logons (in minutes)

Answer 1

Answer:

The mean time between logons is of 0.3333 minutes.

Step-by-step explanation:

Poisson process with an average of 3 logons per minute.

This means that the time between logons follows an exponential distribution, which mean is given by:

$E(X) = \frac{1}{\lambda}$

For this question, we have that $\lambda = 3$, and thus:

$E(X) = \frac{1}{\lambda} = \frac{1}{3} = 0.3333$

The mean time between logons is of 0.3333 minutes.