In a one minute interval, the number of requests for access to a web-based game

Question

In a one minute interval, the number of requests for access to a web-based game is a Poisson random variable with a mean of 20.

(d) Use MATLAB to calculate the actual probability of overload for the value of C derived from the central limit theorem in part (c).

(e) For the value of C derived from the central limit theorem, what is the probability of overload in a one-second interval?

(f) Comment on the application of the central limit theorem to estimate the overload probability in the one-second interval versus that in the one-minute interval.

Explanation / Answer

f) The application of the central limit theorem to estimate the overload probability in the one-second interval would overestimate the overload probability. This overestimate is because, for large n, binomial random variable tends to Poisson random variable, i.e., Poisson is a limiting case of binomial.

Please provide the complete question (or the previous results) for d and e.

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