Due to the increasing number of customers, MTAKUJA commercial Bank located at the University of Dar es Salaam has been facing the problem of long customers' queues since the beginning of this year. The Branch manager decided to conduct a small study to determine the cause of this problem. The study concluded that most of its bank tellers were slow and less efficient. However, the study recommended that the long queues would decrease substantially if at least two of its three banks tellers are operating efficiently. Therefore, to solve this problem the bank came up with the new policy that each bank taller should process at least 25 customers per hour. The probability that the first, second and third bank tellers will fail to comply with the new policy is 0.12, 0.09 and 0.1 respectively. Assume that the three counters at MTAKUJA bank operate independent of each other, find the probability that the queues will decrease substantially.

Due to the increasing number of customers, MTAKUJA commercial Bank located at the University of Dar es Salaam has been facing the problem of long customers' queues since the beginning of this year. The Branch manager decided to conduct a small study to determine the cause of this problem. The study concluded that most of its bank tellers were slow and less efficient. However, the study recommended that the long queues would decrease substantially if at least two of its three banks tellers are operating efficiently. Therefore, to solve this problem the bank came up with the new policy that each bank taller should process at least 25 customers per hour. The probability that the first, second and third bank tellers will fail to comply with the new policy is 0.12, 0.09 and 0.1 respectively. Assume that the three counters at MTAKUJA bank operate independent of each other, find the probability that the queues will decrease substantially.

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Description: Due to the increasing number of customers, MTAKUJA commercial Bank located at theUniversity of Dar es Salaam has been facing the problem of long customers' queues since thebeginning of this year. The Branch manager decided to conduct a small study t

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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