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web site experiences traf fic during normal working hours at a rate of thirty vi

ID: 3330738 • Letter: W

Question

web site experiences traf fic during normal working hours at a rate of thirty visits per hour. Assume that the duration between visits has the exponential distribution. (a) Find 0.0041 the probability that the duration between two successive visits to the web site is more than eleven mi nutes. (Round your answer to four decimal places.) (b) The top 25% of durations 2.77 between visits are at least how long? (Round your answer to two decimal places.) min (c) Suppose your answer to four decimal places.) 0.0001X that 20 minutes have passed since the last visit to the web site. What is the probability that the next visit will occur within the next 5 minutes? (Round (d) Find the probability that less than 27 visits occur within a one-hour period. (Round your answert 0.2073 four deci nal places.)

Explanation / Answer

Solution:- 30 visits per hour is 60/30 = 2 minutes for each visit

c) [ (1 - e-25/2) - (1 - e-20/2) ]/(e-20/2)

= 0.9179