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Google Adwords studies the number of men, and women, clicking the advertisement on search engine during the midnight for an hour each day. Google find that the number of men that click can be modeled as a random variable with distribution Poisson(X), and likewise the number of women that click as Poisson(Y). What is likely to be the best model of the total number of advertisement clicks during the midnight for an hour ?
Correct Answer: D
Explanation The total number of clicks is the sum of the number of men and women. The sum of two Poisson random variables also follows a Poisson distribution with rate equal to the sum of their rates. The Normal and Binomial distribution can approximate the Poisson distribution in certain cases, but the expressions above do not approximate Poisson(X+Y).
