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 use telephone lines to access the customer information database. Currently, the company's central computer system allows the users to access the central computer simultaneously, Agents who attempt to use the system when it is full are denied access, no wating is aliowed 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 follow a Poisson probability distribution, with a mean of calls per hour The service ate per i 21 per hour (a) What is the probability that 0, 1, 2 and 3 access lines will be inse? (Round your answers to four decimal places.) PCO) - PI PX2) P3) - (b) What is the probability that an agent will be denied access to the system (Round your answers to four decimal places P- (c) What is the werage number of access lines in use? (Round your answers to two decimal places) (O) 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 acos to the system should be greater than the value computed in part (b). How many access should this system have? A large nurance company maintains a central computing system that contains a variety of information about customer accounts Insurance agents in a six-state are use telephone lines to access the customer information database. Currently, the company's central computer system allow three users to access the central computer simultaneously, Agents who attempt to use the system When it is all are denied access no waiting is allowed Management realize that with its expanding business, more requests will be made to the central Information system. Being denied access to the system is inecent as well as annoying for agents Access requests follow a Polsson probability distribution with a mean of 34 calls per hour. The service rate per lines 21 calls per hour (a) What is the probability that 0, 1, 2 and 3 colines will be in ne? (Round your answers to four decimal places PO) - PC) - Pt2) - (3) - (1) What is the probability that an agent will be denied access to the system (Round your answers to four decimal places) (e) with the average number of access tines in? (Round your rowers to two decimal places) (c) In planning for the future, management wants to be able to handle - 2 cols per hour. In addition, the probability that an opent will be denied access to the system should be no greater than the computed in part(). How many coses should this system have