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A study by the U.S. Energy Information Administration found that 25% of households have an income...

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Statistics

A study by the U.S. Energy Information Administration found that25% of households have an income under $10, 000 of which 84.3% didnot own a dishwasher. However, it was found that only 21.8% ofthose in the over $10, 000 income range did not own a dishwasher.Find the following:

(Note: round the answers to 2decimal places)

i) If one household is randomly selected from each income group,determine the probability that both households will own adishwasher?  

ii) If one household is randomly selected from the entire group,what is the probability that they own a dishwasher and have anincome over $10, 000?  

iii) If one household is randomly selected from the entiregroup, what is the probability that they own adishwasher?  

iv) If one household is randomly selected from the entire group,what is the probability that they either own a dishwasher or havean income over $10, 000?  

v) If one household is randomly selected from the entire groupand was found to have dishwasher, what is the probability that theyhave an income over $10, 000?  

vi) Are the events ‘Owing a dishwasher’ and‘having an income over $10, 000' independent?(Insert either YES or NO as youranswer)

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