Question 1: Suppose that the login times to a computer network follows a Poisson process with an average of 5 logins per minute. a) What is the mean time between logins (in seconds)? b) What is the standard deviation of the time between logins (in seconds)? c) Determine the value x for which the probability that the first login happens before time x seconds is exactly 0.90
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The average login rate is given as 5 logins per minute. To convert this to seconds, we divide by 60 (since there are 60 seconds in a minute). Average login rate = 5 logins per minute = 5/60 logins per second = 1/12 logins per second. Show more…
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