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 toaccess 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 thesystem when it is full are denied access; no waiting 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 foragents. Access requests follow a Poisson probability distribution, with a mean of 33 calls per hour. The service rate per line is 22 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 43 calls per hour. In addition, the probability that an agent will be denied access to the system should be no greaterthan the value computed in part (b). How many access lines should this system have?=

Given Information: Number of servers is k=3 Arrival rate for calls λ=33 Service rate for calls μ=22…

Answered: A large insurance company maintains a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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According to Wikipedia, Marie Skłodowska Curie (7 November 1867 - 4 July 1934) was a Polish and naturalized-French physicist and chemist who conducted pioneering research on radioactivity. She was the first woman to win a Nobel Prize, the first person and the only woman to win the Nobel Prize twice, and the only person to win the Nobel Prize in two different scientific fields. She was part of the Curie family legacy of five Nobel Prizes. She was also the first woman to become a professor at the University of Paris, and in 1995 became the first woman to be entombed on her own merits in the Panthéon in Paris. Madame Curie died 1934 from aplastic anaemia, a rare condition linked to high levels of exposure to the radioactive elements polonium and radium. Due to her many years of exposure to these radioactive. elements, her remains are dangerously radioactive and are entombed in a lead-lined coffin in France's Panthéon. The thick lead shields visitors to the Panthéon from the dangerous…
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 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 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 33 calls per hour. The service rate per line is 22 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) = 0.2388 P(1) = 0.3582 P(2) = 0.2687 P(3) = 0.1343 (b) What is the probability that an agent…
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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 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 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 37 calls per hour. The service rate per line is 22 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) = 0.1642 P(1) = 0.2911 P(2) = 0.2572 P(3) = 0.1521 X X X X (b) What is the probability that an…
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