Question

(a) Consider a certain newspaper article on the website of the newspaper. The number of hits...

(a) Consider a certain newspaper article on the website of the newspaper. The number of hits that article gets, from the Weblog of the newspaper server, follows a Poisson distribution with a parameter (λ) of one (1) hit per four (4) hour slots. The Web server is online the whole day.

(i)Determine the probability that an article will have at least one (1) hit in a day.

(ii) The server contains 25 such articles. Determine the probability that at least one (1) news article will get a hit in a day.

(iii) Determine the probability that between five (5) and twenty (20), inclusive, news articles will get a hit during a particular day.

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