Question

In: Statistics and Probability

You own a barbershop with 2 chairs (2 channels). The mean arrival rate is 8 people...

  1. You own a barbershop with 2 chairs (2 channels). The mean arrival rate is 8 people per hour. The mean service rate is 5 units per hour for each chair. Find the following:
  1. What is the probability that no one is in the system? (look in the table)
  1. What is the average number of people in the system?

  1. What is the average time a person waits for service?

  1. What is the average time a person is in the system?

Solutions

Expert Solution

Solution:-

Given

(n) mean arrival time rate = 8 people per hour

() mean service rate = 5 units per hour

No. of chair = 2

(a)

probability that no one is in the system

where p is

(b)

Average no. of people in the system

   person

(c)

Average time a person wait for a service

(d)

Average time a person is in system:


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