(Solved): A large insurance company maintains a central computing system that contains a variety of informatio ...
A large insurance company maintains a central computing system that contains a variety of information about cuitomer acciounta. Insurance agerts is a vix-atabe area une telephone lines to access when if is full are deried access; ne wating is allowed. Manapement realizes that with is expandisg butiness, more requests will be made to the central imformabion wyitem, Being denied access to the ivitem is inefficient as well as annoying for agents. Access requevts follow a Poissen probatility diatribution, with a mean of 37 calls 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? (Hound your answers to foor decimal places.)
P(0)=◻
P(1)=◻
A(2)=◻
P(3)=◻(b) What is the probability that an agent wil be denied access to the syitem? (Round your anamens bo four decimal places.)
P_(k)=(c) What is the averbge number of access lines in uve? (hound your answers to two decimal placen-)
◻(d) In plansing for the foture, management wants to be able to handle
A=49calls per houk. In adoinon, the probubity that an agent will be denied access to the writern should be no greater than the value computed in part (b). How many access lines thould this system have?
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