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The number of page requests that arrive at a Web server is a Poisson random variable X with an average of 1200 requests per minute.

The number of page requests that arrive at a Web server is a Poisson random variable X with an average of 1200 requests per minute. Find the probability that


(a) there are no requests in a 1-second period.


(b) there are between 1 and 3 requests (i.e., 1 ≤ X ≤ 3) in a 1-second period.

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