A production line produces 1000 items each day.When production equipment is running normally it is usual that 12 faulty items are produced each day.If a random sample of 15 items is taken one day and 2 items are faulty, determine the probability that this occurs assuming the production process is working normally and comment briefly on the result.

I would like to understand this with and without a distribution please. I assume the distribution will be piosson due due to the high N?

Without a distribution, the answer i got was 1.2924% chance probability