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.)

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,

(b) What is the standard deviation between counts ?

(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,

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

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step-by-step explanation: