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In: Statistics and Probability

A lot of 1000 screws contains 30 that are defective. Two are selected at random, without...

A lot of 1000 screws contains 30 that are defective. Two are selected at random, without replacement, from the lot. Let A and B denote the events that the first and second screws are defective, respectively.

(a) Prove whether or not A and B are independent events using mathematical expressions of probability.

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