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A computer server receives service requests that are distributed according to a Poisson

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A computer server receives service requests that are distributed according to a Poisson PMF with a rate of a requests per hour. Majority of requests are benign, but occasionally malicious requests are received. The probability of a request being malicious is p.

1. Determine the PMF of malicious requests in a period of 15 minutes.

2. What is the expected value and the variance of malicious requests in this period?

3. What is the probability that more than 3 malicious requests are received in this period?

4. Find numerical values for x = 4000 and p = 0.001.

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[Solved] A computer server receives service requests that are distributed according to a Poisson

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