Jobs are sent to a server at a rate of 2 jobs per minute. We will...

Jobs are sent to a server at a rate of 2 jobs per minute. We will model job arrivals using a (homogenous) Poisson process. For each question, clearly specify the parameter value(s) of the distribution as well as its name. (a) What is the probability of receiving more than 3 jobs in a period of one minute? (b) What is the probability of receiving more than 30 jobs in a period of 10 minutes? (No need to simplify.) (c) What is the expected value and the variance of inter-arrival times? (d) Compute the probability that the next job does not arrive during the next 30 seconds. (e) Compute the probability that the time till the fourth job arrives exceeds 40 seconds.

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milcah answered 2 months ago

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