SOLUTION: Question – 7: In each case, determine whether the events E and F are independent or dependent. Justify your answer in each case.
7a-) E: You get a high score on a statistics ex
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-> SOLUTION: Question – 7: In each case, determine whether the events E and F are independent or dependent. Justify your answer in each case.
7a-) E: You get a high score on a statistics ex
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Question 1129550: Question – 7: In each case, determine whether the events E and F are independent or dependent. Justify your answer in each case.
7a-) E: You get a high score on a statistics exam.
F: The Boston Bruins win a hockey game.
7b-) E: Your refrigerator works.
F: Your television works.
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recall:
Two events are if the occurrence of one of them the probability of the occurrence of the other, but this does not necessarily mean that one of the events is a cause of the other.
Two events are independent if the occurrence of one the probability of the occurrence of the other.
7a-)
E: You get a high score on a statistics exam.
F: The Boston Bruins win a hockey game.
-> E the probability of the occurrence of the event F
7b-)
E: Your refrigerator works.
F: Your television works.
-> for same reason as above
If two events are technically dependent but can be treated as if they are independent according to the % guideline, consider them to be .
For example, playing the California lottery and then playing the New York lottery
are because the result of the California lottery has absolutely
no effect on the probabilities of the outcomes of the New York lottery.
In contrast,
the event of having your car start and the event of getting to your statistics class on time are , because the outcome of trying to start your car does affect the probability of getting to the statistics class on time.
