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 microwave not working has no effect on the probability of finding his kitchen light not working O B. 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 ° C. The events are dependent since a person finding his microwave not working may increase the probability of finding his kitchen light not working 0 D. 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. Randomly selecting a baseball player over the age of 30. / Randomly selecting a second baseball player over the age of 30. Choose the correct answer below A. The two events are technically dependent but can be treated as if they are independent because small samples are drawn from a large population O B. The events are dependent since randomly selecting a baseball player over the age of 30 may decrease the probability of randomly selecting a second ° C. The events are independent since randomly selecting a baseball player over the age of 30 has no effect on the probability of randomly selecting a second c. The habit of driving recklessly. / The probability of getting into a serious car accident. Choose the correct answer below A. The habit of driving recklessly could affect the probability of getting into a serious car accident, so the events are dependent. O B. The habit of driving recklessly could not affect the probability of getting into a serious car accident, so the events are independent. ° C. The probability of getting into a serious car accident could affect the habit of driving recklessly, so the events are dependent. 0 D. The habit of driving recklessly could affect the probability of getting into a serious car accident, so the events are independent.

Explanation / Answer

a.) Correct option is C finding his microwave not working might increase the probability of finding his kitchen light not working

b.) Correct option is C that the given two events are independent

c.) Correct option is A since the habit of driving recklessly might increase the chance of getting into a car accident not the other way around

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