Mathematics, 10.12.2021 20:20, michaelwthms
In any one-minute interval, the number of requests for a popular Web page is a Poisson random variable with expected value 300 requests.(a) A Web server has a capacity of C requests per minute. If the number of requests in a one-minute interval is greater than C, the server is overloaded. Use the central limit theorem to estimate the smallest value of C for which the probability of overload is less than 0.05.(b) Use MATLAB to calculate the actual probability of overload for the value of C derived from the central limit theorem.(c) For the value of C derived from the central limit theorem, what is the probability of overload in a one-second interval?(d) what is the smallest value of C for which the probability of overload in a one- second interval is less than 0.05?(e) Comment on the application of the central limit theorem to estimate the overload probability in one- second interval and in a one- minute interval.
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