Question

5
xxpuresublimexx Lifesaver
with one method of acceptance sampling, a sample of items is randomly selected without replacement from a batch of items. the entire batch is rejected if there is atleast one defect in the sample. a company produced 1800 vitamins on a certain day. due to size restrictions, 7% of the vitamins are unacceptable. if 6 of the vitamins were selected and tested, what is the probability that the entire batch will be rejected?

Answer 1

1800(.07) = defect = 126
1800(.93) = good = 1674

Total = 1800, and if we get 1 out of 6 the batch is rejected.

If im right in my thinking its a hypergeometric distribution and might go something like this

(126 C 1)*(1674 C 5)
------------------
(1800 C 6)

Answer 2

126 * 108892844529084
------------------------- = .2929
4.68467774787327×10^16

but i make no claims for its correctness :)