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Four types of jobs arrive to a machine randomly and independently. The follo pro

ID: 3383209 • Letter: F

Question

Four types of jobs arrive to a machine randomly and independently. The follo probability of occurrence of each job type and their respective service times in minutes. wing table gives th type 1 type 2 type 3 type 4 service time 30.0 8.0 4.0 20.0 Let T, be a service time of an arbitrary job processed on the machine described above. e' Construct and report each of the element of a probability space (QF, P) characterizing the uncertainty in job service times, ' Give a schematic diagram showing your probability space (Q,,P), including the random variable T . Plot the distribution Fr. (t), and develop the analytical characterization of Fr. (). . Develop the probability mass function pr, (t) for T,, then plot pr.(t) bability space (2, F, P), including the random variable Ts Bonus Re -S tak 2 pledges from class

Explanation / Answer

Four types of jobs arrive to a machine randomly and independently. The follo pro

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