Question

Suppose that the log-ons to a computer network follow a Poisson process with an average of 3 counts per minute. (a) What is the mean time between counts (in minutes)? (Round yours answers to 3 decimal places.) (b) What is the standard deviation between counts (in minutes)? (Round yours answers to 3 decimal places.) (c) If it is an average of 3 counts per minute, find the value of such that . (Round yours answers to 4 decimal places.)

Answer 1

Answer: a) 0.333, b) 0.333 and c) 0.9986.

Step-by-step explanation:

Since we have given that

Average = 3 counts per minute = λ

a) What is the mean time between counts ?

Since it follows a Poisson Process, So,

$E[x]=\dfrac{1}{\lambda}=\dfrac{1}{3}=0.333$

(b) What is the standard deviation between counts ?

$\sigma=\dfrac{1}{3}=0.333$

(c) If it is an average of 3 counts per minute, find the value of such that .

If the average = 3 counts per minute.

Then, $P(X$

Hence, a) 0.333, b) 0.333 and c) 0.9986.