A large insurance company maintains a central computing system that contains a variety of informotion about customer accounts. Insurance agents in a six-state ares use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expunding business, more reguests wil be made to the central information system. Being denied access to the system is inefficient as well as annoping for agents. Access requests follow a Polsson probablity distribution, with a mesn of 40 cals per hour. The service rate per line is 24 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 probbbilify that an agent will be denied access to the system? (Round your answers to four decimbl places.) Pk= (c) What is the average number of access lines in use? (Hound your answers to two decimal places.) (d) In planning for the future, management wants to be able to handie =52 calls per hour. In addition, the probbbility 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? A large insurance company maintains a central computing system that contains a variety of informotion about customer accounts. Insurance agents in a six-state ares use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expunding business, more reguests wil be made to the central information system. Being denied access to the system is inefficient as well as annoping for agents. Access requests follow a Polsson probablity distribution, with a mesn of 40 cals per hour. The service rate per line is 24 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 probbbilify that an agent will be denied access to the system? (Round your answers to four decimbl places.) Pk= (c) What is the average number of access lines in use? (Hound your answers to two decimal places.) (d) In planning for the future, management wants to be able to handie =52 calls per hour. In addition, the probbbility 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
