Question: Problem 3) 12 Points (-3/error) In a waiting line system, arrivals occur at a rate of 50.9 customers per hour on average (defined by a

Problem 3) 12 Points (-3/error) In a waiting line system, arrivals occur at a rate of 50.9 customers per hour on average (defined by a Poisson distribution), and the service rate is 60.2 customers per hour, on average (defined by a Poisson distribution). Carry all answers to 4 decimals. You must include the formulas and show your work as demonstrated in the Chapter 11 Solutions posted on Canvas. (a) What is the average number of customers waiting in line? (b) What is the average number of customers in the system? (c) What is the average time (hours) that a customer waits in line? (d) What is the average time (hours) that a customer is in the system? 5 Ratio NA 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00 3.20 3:40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 2 0.8605 0.8182 0.7778 0.7391 0.7021 0.6667 0.6327 0.6000 0.5686 0.5385 0.5094 0.4815 0.4545 0.4286 0.4035 0.3793 0.3559 0.3333 0.2500 0.1765 0.1111 0.0526 3 0.8607 0.8187 0.7788 0.7407 0.7046 0.6701 0.6373 0.6061 0.5763 0.5479 0.5209 0.4952 0.4706 0.4472 0.4248 0,4035 0.3831 0.3636 0.2941 0.2360 0.1872 0.1460 0.1111 0.0815 0.0562 0.0345 0.0160 0.8607 0.8187 0.7788 0.7408 0.7047 0.6703 0.6376 0.6065 0.5769 0.5487 0.5219 0.4965 0.4722 0.4491 0.4271 0,4062 0.3863 0.3673 0.3002 0.2449 1993 0.1616 0.1304 0.1046 0.0831 0.0631 0.0521 00377 090278 0.0156 00113 0.005 0.8607 0.8187 0.7788 0.7408 0.7047 0.6703 0.6376 0.6065 0.5769 0.5488 0.5220 0.4966 0.4724 0.4493 0.4274 0.4065 0.3867 0.3678 0.3011 0.2463 0.2014 0.1646 01333 01094 0.0889 0.072 DX058 00408 010 00203 000128 0.017 OL10 D0093 DING DU008 00012

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