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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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.
Transcribed Image Text: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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