QUESHON #5 - Multiple Server Chan Problems On average 1? customers arrive every hour In an 8 hour shift a server can help 200 customers. 9511012 Server Busy [mo] CUSTOMERS CUSTOMERS Number in System n-[s] . 0.77 0.090 Number in lJne n(l) 0.09 0.010 7.500 FILL IN THE CHART: a} Find Lambda 0.) and Mu (p) b) What is the Average Time it takes to serve one customer n minutes}? (Fill in Chart} c) How often does a customer arrive [in minutes}? {Fill in Chart) d) Find Rho (p) lor the single server model. {Fill in Chart} 3) Find Pu to ngor the single senrer model. Find n(|) and t(l). (Fill in Chad) Usig the lled in chart: 1} In a singleserver model, what is the average number at customers in line? g) In a singleserver model, what is the average time a customer waits in line? In minutes. h) In a FOURserver model, what percentage of the time would a server be busy? i) In athree-server model. what is the probability that a customer gets served immediately? j) In atwoserver model, what is the probability that there are 3 or more customers in the system? It) In a singleserver model, what is the probability there are exactly 2 people in line? I) In athree server-model. what is the probability there are more than 2 customers in the line? m) In a two server model, how much time does a customer spend in the store. from the moment they enter, to the moment they leave the tacility? n) What is the fewest number of servers required il you'd prefer average waiting times to be less then 30 seconds? 0) What is the average time (In Seconds} spent in the system in a threeserver model