Web Site Stability John O’Hagan is considering upgrading the Web server equipment at OHaganBooks.com because of frequent crashes. The tech services manager has been monitoring the frequency of crashes as a function of Web site traffic (measured in thousands of visits per day) and has obtained the following model:
where c(x) is the average number of crashes in a day in which there are x thousand visitors.
a. On average, how many times will the Web site crash on a day when there are 10,000 visits? 50,000 visits? 100,000 visits?
b. What does the coefficient 0.03 tell you about the Web site’s stability?
c. Last Friday, the Web site went down 8 times. Estimate the number of visits that day.
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