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Probability: Ordered and Non-ordered Sets, Sampling & Replacing

Suppose that a batch of 100 items contains 6 that are defective and 94 that are nondefective. 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}
(Answer first if sampling with replacing, and then if sampling without replacing)


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Ordered and Non-ordered Sets, Sampling and Replacing are investigated. The solution is detailed and well presented.