00:01
A barber shop has a single barber.
00:02
Customers arrive with a rate of 6 per hour.
00:05
On average, the barber is able to cut the hair of 10 customers in an hour.
00:11
Assume that the inter -arrival and service times are exponential.
00:15
There exists a total of 2 seats available for the customers in the shop and this includes both waiting and serve customers.
00:21
An arriving customer enters the shop if there's an empty chair, otherwise he won't enter.
00:26
Worst parabolous that there's no customer.
00:28
On average, how many customers are there in the shop? and what's the probability that an arriving customer is lost? and on average, how many haircuts would the barber complete in an hour? so the arrival rate is 6 per hour.
00:41
The average time, the average service time is you.
00:45
So the utilization factor would be the division of this which is 6 over 10 which is 3 over 5.
00:53
So the probability that the arrival would be place free would be p0 equals to 1 minus p which is 1 minus 3 over 5 and this is 2 over 5...