In a lot of n components, 30% are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. For which lot size n will A and B be more nearly independent: n=10 or n=10,000? Explain.
What will be an ideal response?
n = 10, 000. The two components are a simple random sample from the population. When the population is large, the items in a simple random sample are nearly independent.
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