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Statement of a problem № m248

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A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement, from the batch. Let A and B denote the events that the first and second container selected is defective, respectively. (a) Are A and B independent events? (b) If the sampling were done with replacement, would A and B be independent?

Solution:
A batch of 500 containers for frozen orange juice contains 5 that are defective.

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