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Consider a computer system with Poisson job-arrival stream at an average of 10 jobs per 4 minutes. Determine the probability that in any one-minute interval

Consider a computer system with Poisson job-arrival stream at an average of 10 jobs per 4 minutes. Determine the probability that in any one-minute interval there will be (20 points):

1. Exactly 5 jobs
1. At least 3 jobs
1. Between 2 to 5 jobs inclusive

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