Question: Website hits. A hit for a website is a request for a file from the websites server computer. Some popular websites have thousands of hits

Website hits. A “hit’’ for a website is a request for a file from the website’s server computer. Some popular websites have thousands of hits per minute.

One popular website boasts an average of 6500 hits per minute between the hours of 9 a.m. and 6 p.m. Assume that the hits per hour are well modeled by the Poisson distribution. Some software packages will have trouble calculating Poisson probabilities with such a large value of m.

(a) Use Excel’s Poisson function to calculate the probability of 6400 or more hits during the minute beginning at 10:05 a.m. What did you get?

(b) Find the probability of part

(a) using the Normal approximation.

(c) Minitab users only: Try calculating the probability of part

(a) using the Minitab’s Poisson option. Did you get an answer? If not, how did the software respond? What is the largest value of m that Minitab can handle?

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