A large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agent use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access th computer simultaneously. Agents who attempt to use the system when it is full are denjed access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information 5ystem. Being denied access to the 5 , as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 32 calis per hour. The service rate per line i (a) What is the probability that 0,1,2, and 3 access lines will be in use? (Round your answers to four decimal places.) P(0)=P(1)=P(2)=P(3)= (b) What is the probability that an agent will be denied access to the system? (Round your answers to four decimal places.) Pk= (c) What is the average number of access lines in use? (Round your answers to two decimal places.) (d) In planning for the future, management wants to be able to handle =42 calls per hour. In addition, the probability that an agent will be denie system should be no greater than the value computed in part (b). How many access lines should this system have? y maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area ess the customer information database, Currently, the company's central computer system allows three users to access the central Agents who attempt to use the system when it is full are denied access; no waiting is allowed. With its expanding busines5, more requests will be made to the central information system. Being denied access to the system is inefficient ents. Access requests follow a Poisson probability distribution, with a mean of 32 calls per hour. The service rate per line is 19 calls per hour. ity that 0,1,2, and 3 access lines will be in use? (Round your answers to four decimal places.) ty that an agent will be denied access to the system? (Round your answers to four decimal places.) number of access lines in use? (Round your answers to two decimal places.) uture, management wants to be able to handle =42 calls per hour. In addition, the probability that an agent will be denied access to the greater than the value computed in part (b). How many access lines should this system have? A large insurance company maintains a central computing system that contains a variety of information about customer accounts, Insurance agents in a six-state area tise telephone tines to access the customer information database. Currently, the compary's central computer system allows three users to access the centrat computer simultaneously. Agents who attempt to use the system when it if full are denied access: no wating is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests foliow a Poisson probability distribution, with a mean of 32 calls per hour, The service rate per line is 19 calls per hour. (a) What is the probability that 0,1,2 and 3 access lines will be in use? (Round your answers to four decimal places.) P(0)=P(1)=P(2)=P(3)= (b) What is the probability that an agent will be denied access to the system? (Round your answers to four decimal places.) pk= (c) What is the average number of access lines in use? (Round your answers to two decimal places.) (d) In planning for the future, management wants to be able to handle =42 calls per hour. In addition, the probability that an agent will be denied access to the system should be no greater than the value computed in part (b). How many access lines should this system have
