00:01
Hello students, the traffic intensity, the traffic intensity rho can be calculated as the ratio of the arrival rate which is lambda to the service rate mu where lambda is the arrival rate and mu is the service rate.
00:39
And given that the average arrival rate lambda equal to 1 .25 customers per minute and the service rate mu equal to 2 customers per minute.
01:00
So rho equal to 1 .25 by 2 which is equal to 0 .625.
01:08
So the probability that no customers are in the system p0 can be calculated as p0 equal to 1 by 1 plus lambda by mu.
01:23
So this is equal to 1 by 1 plus 0 .625 which is approximately equal to 0 .6154.
01:31
So, the probability that no customers are in the system is approximately 0 .6154.
01:55
For the next part, average, we have to find the average number of customers waiting for the service.
02:04
So, the average number of customers waiting for the service is denoted by lq can be calculated as rho square divided by 1 minus rho.
02:18
Substitute the value of rho, we have this is equal to 0 .625 whole square divided by 1 minus 0 .625 which is equal to 1 .041.
02:35
So, the average number of customers waiting for service is approximately 1 .041.
02:57
For the next question, the average time a customer spends waiting in the queue before being served is wq equal to 1 .041 divided by 1 .25...