00:01
Here we are asked to find out what is the total number of customers waiting in the queue by the time customer 6 arrives in the system.
00:19
So let us see at t is equal to first customer comes.
00:24
Customer first comes at t is equal to 0.
00:36
At time t is equal to 0.
00:39
Now what happens is second customer comes at 0 plus 0 .4 that is 0 .4 itself.
00:52
Now we are talking about the third one.
00:55
Third customer comes at 0 .4 plus 1 .2 which is 1 .6.
01:11
Then okay let me take these are the minutes only.
01:15
Now fourth customer comes 1 .6 then he comes after 0 .5 inter arrival time is 0 .5 so it would be 2 .1.
01:31
Now fifth customer comes so 2 .1 plus 1 .7 which is 3 .8.
01:48
Now sixth customer comes so what is the time at what time from 0.
01:57
0 time we are assuming so that is why this is the timing okay.
02:01
Now 3 .8 plus 0 .2 which is 4 .0 here.
02:09
Okay what are the service timing for them.
02:17
So before that you must know that you should like a person is served one by one.
02:29
First come first serve basis and only once the previous customer is resolution is like served already then another customer is served right.
02:44
This is one by one phenomena right.
02:46
So what happens is for first one it takes 0 time so okay so this is first customer here we have now this is second customer we have right.
02:56
This is how one by one it goes on right.
03:01
So now let us just talk about the service timing of second customer.
03:07
So second customer takes how much time.
03:16
He will take 2 minutes right.
03:19
So 2 .4 it would become his work would be completed at 2 .4 right.
03:26
This is about first customer so that means 1, 2, 3 customers are already waiting right.
03:36
Okay second customer we are talking about okay.
03:40
So 1, 2, 1 and 2...