I am really stuck with some parts of this question, and some I think I've got. I can't get my head around this (Headbang)
A bank has a central queue served by four assistants - two of the four assistants are exponentially distributed with mean 4 minutes, the other two exponentially distributed with mean 6 minutes.
When I enter the bank all 4 assistants are busy, but no-one is waiting to be served.
Q1. Find the distribution of the time I have to wait before I can move forward for service, hence show my expected waiting time is 72 seconds
I have got as far as or but I have no idea how to show the expected waiting time is as above.
Q2. Calculate the probability that I have to wait more than 1 1/2 minutes until an assistant is free to serve me.
I think I've got this one...
where and giving me 0.287
Any help would be very much appreciated