In a large computer network, user log-on to the system can be modeled as a Poisson process with a mean of 25 log-on per hour. a. What is the probability that there are no log-on in an interval of 6 mins? b. What is the mean time until the next log-on? c. What is the SD of the time until the next log-on?
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Given that the mean log-on rate is 25 log-ons per hour, we can calculate the mean log-on rate per minute by dividing by 60 (since there are 60 minutes in an hour): Mean log-on rate per minute = 25 log-ons per hour / 60 minutes per hour = 0.4167 log-ons per Show more…
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2. In a large corporate computer network, user log-ons to the system can be modeled as a Poisson process with a mean of 25 log-ons per hour. What is the probability that there are no log-ons in an interval of 6 minutes? What is the median time between log-ons? Hint: This is the interval of time such that the probability of no log-ons during that interval is 0:5 .
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