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Consider the arrival of requests on a server. Presume that the requests are considered as coming from an anonymous and large collection of users independently of each other on an average of 50 requests per second. If X measures the number of requests per second, determine
  1. the probability that in any given second the server gets fewer than 50 requests
  2. \(\displaystyle P(\mu - 2\sigma \le X \le \mu + 2\sigma)\)
  3. the expected number of requests per hour.
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