All right, the key to this question is that this

is not a waiting time question but a loss question.

If you see words in the question such as redirect or

the job, probability that the job can or cannot be executed.

We are not dealing with waiting time questions,

we're dealing with loss questions.

For loss question, we have the airline loss function, and

so remember we start by looking at the ratio of P divided by a.

So we have a processing time here that is 10 minutes, and

we have an inter-arrival time that is 4 minutes, so that ratio here is 2.5.

We have m=4.

We then look at the table that I had mentioned in the lecture,

but that is posted in the wiki for the current week.

Look at the table and there you will find that

the probability that we have a loss with r=2.5 and

m=4 is equal to 14.99%, so 0.1499.

So notice the question here is asking for

what's the probability with which an incoming job can be executed?

And so we have to take 1 minus that

probability as the answer to the question.

And so the answer to this question is that is is 85.01%.

The second part of the question in some sense looks at the overflow,

and it's important to keep in mind that we have 15 jobs coming in per hour.

That is just 60 minutes divided by the inter-arrival time of 4 minutes here.

So 15 jobs come per hour and we know from the previous question that jobs

will be turned down or turned away to the partner company,

OnComputer that happens with a probability of 14.99%.