Q.3 Consider a computer system with Poisson job-arrival stream at an average of 2 per minute. Determine the probability that in any one-minute interval there will be (i) 0 jobs; (ii) exactly 2 jobs; (iii) at most 3 arrivals. (iv) What is the maximum jobs that should arrive one minute with 90 % certainty?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Q.3
Consider a computer system with Poisson job-arrival stream at an average of 2
per minute. Determine the probability that in any one-minute interval there will
be (i) 0 jobs; (ii) exactly 2 jobs; (iii) at most 3 arrivals. (iv) What is the
maximum jobs that should arrive one minute with 90 % certainty?
Transcribed Image Text:Q.3 Consider a computer system with Poisson job-arrival stream at an average of 2 per minute. Determine the probability that in any one-minute interval there will be (i) 0 jobs; (ii) exactly 2 jobs; (iii) at most 3 arrivals. (iv) What is the maximum jobs that should arrive one minute with 90 % certainty?
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