Suppose that a batch of 100 items contains 6 that are defective and 94 that are not defective. If X is the number of defective items in a randomly drawn sample of 10 items from the batch, find (a) P(X=0) and (b) P(X>2)?
1 Answers
Best Answer
Observe that X in (0,1,2,3,4,5,6 ). Take any k in (0,1,2,3,4,5,6 ). The event X=k means that in our sample, we have taken k defective items and 10 - k non-detective items. Hence
Now, we have that
and
Result:
Consider Hypergeometric distribution.
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![](https://sks23cu.net/wp-content/uploads/2021/11/Снимок-экрана-2021-11-04-в-15.36.18-300x82.png)
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