Question

An average of 3 people come to a barber shop per hour and the service time for one person averaged 15 minutes. Observations made in this shop for sufficient time As a result, the probability distribution of the number of people in the system is as follows: found. The average number of customers waiting in the queue for this system, the average time the customer spent in the system and no queues at any given moment. Calculate the probability of not having customers. Person in the system number 0 1 2 3 4 5 6 Probability 0.05 0.10 0.20 0.25 0.15 0.15 0.10

          An average of 3 people come to a barber shop per hour and the service time for one person
averaged 15 minutes. Observations made in this shop for sufficient time
As a result, the probability distribution of the number of people in the system is as follows:
found. The average number of customers waiting in the queue for this system,
the average time the customer spent in the system and no queues at any given moment.
Calculate the probability of not having customers.
Person in the system
number
           0      1       2     3     4      5      6
Probability 0.05 0.10 0.20 0.25 0.15 0.15 0.10
        
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Added by Tammy W.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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An average of 3 people come to a barber shop per hour and the service time for one person averaged 15 minutes. Observations made in this shop for sufficient time As a result, the probability distribution of the number of people in the system is as follows: found. The average number of customers waiting in the queue for this system, the average time the customer spent in the system and no queues at any given moment. Calculate the probability of not having customers. Person in the system number 0 1 2 3 4 5 6 Probability 0.05 0.10 0.20 0.25 0.15 0.15 0.10
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Transcript

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00:01 Given to us mean time between arrival denoted as lamba is 5 minutes mean service time is 3 minutes.
00:16 So over here the utilization factor denoted as p is evaluated as lamba divided by mean.
00:26 So if p is less than 1 it indicates that system is not fully utilized and can handle the incoming traffic...
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