If a sample of 100 people is chosen from a town of 100,000 people without replacement, is it reasonable to assume that events are independent? Why? A. No. Because the sample size is more than 5% of the population size, it is not reasonable to treat the events as independent. B. Yes. Because the sample size is less than 5% of the population size, it is reasonable to treat the events as independent. C. No. Because people are chosen without replacement, then events will be dependent. Assuming independence will make a significant different in the probabilities. D. Yes. Because people are chosen without replacement, then the events are technically independent anyway.
If a sample of 100 people is chosen from a town of 100,000 people without replacement, is it reasonable to assume that events are independent? Why? A. No. Because the sample size is more than 5% of the population size, it is not reasonable to treat the events as independent. B. Yes. Because the sample size is less than 5% of the population size, it is reasonable to treat the events as independent. C. No. Because people are chosen without replacement, then events will be dependent. Assuming independence will make a significant different in the probabilities. D. Yes. Because people are chosen without replacement, then the events are technically independent anyway.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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