Problem 4 Suppose that the log-on to a computer network follow a Poisson process with an average of three counts per minute. (a) What is the mean time between counts? (b) What is the standard deviation of the time between counts? (c) Determine x such that the probability that at least one count occurs before time x minutes is 0.95.
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Given that the average log-on rate is 3 counts per minute, the mean time between counts (me) can be calculated as: me = 1 / λ me = 1 / 3 me = 0.333 minutes Show more…
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Suppose that the log-ons to a computer network follow a Poisson process with an average of three counts per minute. a. What is the mean time between counts? b. What is the standard deviation of the time between counts? c. Determine $x$ such that the probability that at least one count occurs before time $x$ minutes is $0.95 .$
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