Ok, these problems should be easy, as I can use the calculator function to solve, but deriving the numbers has proved to be difficult.
Find probability that at least 2 computers are defective:
23 computers, probability of defective is .093
What is the probability of a multiple choice test, 3 possible answers, 10 questions that you will get a 80%
Couldn't figure out how to type them in righ.
The bottom line is, you need to know if you're sampling with or without replacement. Usually when you sample items looking to see if they are defective you do not replace them. Like buying milk or eggs. If you walk out with 4 containers of eggs, they were not replaced. The other problem here is 23 times .093 is not an integer. I had expected it to be an integer, meaning that were were 2 or 3 defectives computers here.
Even if 23 times 0.093 is an integer, I still don't see why, in your first post, you jump to the conclusion that it's hypergeometric.
First, the question is clearly about the whole population, ie, it's a census, not a sampling problem.
Second, with hypergeometric problems, you are given the number of defective parts in the population, not the probability that each sample item is defective.
Third, it's not just about sampling with or without replacement, it's about whether the probability of picking up defective parts is constant from sample to sample. If the probability is constant, it's a binomial problem, even if you're sampling without replacement. If it's not, because the number of defective parts are fixed in the population, then it's hypergeometric.