5.18 Requests to a Web server. According to Brighton Webs LTD, a British company

Question

5.18 Requests to a Web server. According to Brighton Webs LTD, a British company that specializes in data analysis, the arrival time of requests to a Web server within each hour can be modeled by a uniform distribution. (www.brighton-webs.co.uk.) Specifically, the number of seconds Yfrom the start of the hour that the request is made is uniformly distributed between 0 and 3,600 seconds. Find the probability that a request is made to a Web server sometime during the last 15 minutes of the hour. (0.25)

Explanation / Answer

15 min= 15*60=900 sec

Since it is uniform distribution, it is

P = (3600-2700)/(3600-0) =0.25

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