For each given pair of events, classify the two events as independent or depende

Question

For each given pair of events, classify the two events as independent or dependent. (If two events are technically dependent but can be treated as if they are independent, consider them to be independent.) a. A person finding his microwave not working. / The same person finding his kitchen light not working. Choose the correct answer below. A. The events are independent since a person finding his kitchen light not working has no effect on the probability of finding his microwave not working. B. The events are dependent since a person finding his microwave not working may increase the probability of finding his kitchen light not working. C. The events are independent since a person finding his microwave not working has no effect on the probability of finding his kitchen light not working. D. The events are dependent since a person finding his microwave not working has no effect on the probability of finding his kitchen light not working. b. Randomly selecting a dime made before 1998. / Randomly selecting a second dime made before 1998. Choose the correct answer below. A. The events are independent since randomly selecting a dime made before 1998 has no effect on the probability of randomly selecting a second. O B- The events are dependent since randomly selecting a dime made before 1998 may decrease the probability of randomly selecting a second. O C. The two events are technically dependent but can be treated as if they are independent because small samples are drawn from a large population. c. The habit of eating from the mega-sized fast food menu. / The probability of becoming obese. Choose the correct answer below. A. The habit of eating from the mega-sized fast food menu could not affect the probability of becoming obese, so the events are independent. B. The habit of eating from the mega-sized fast food menu could affect the probability of becoming obese, so the events are dependent. C. The habit of eating from the mega-sized fast food menu could affect the probability of becoming obese, so the events are independent. D. The probability of becoming obese could affect the habit of eating from the mega-sized fast food menu, so the events are dependent.

Explanation / Answer

a. Since, both microwave and kitchen light require power to operate, so when microwave is not working, and the sam eperson finds the kitchen light not working it seems that it might be due to power cut. Option B.

b. Selecting a dime made before 1998 is dependent of selecting the second dime made before 1998. If the selection is made with replacement. But since small samples are chosen from laarge population, they might be considered independent. Option C.

c. The habit of eating from mega sized fast food menu could affect the probability of becoming obese, so events are dependent. Consumption of fast food in general leads to obesity, so habit of eating from mega sized fast food menu could affect the chance of becoming obese. Option B.

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