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In: Statistics and Probability

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

A study by the U.S. Energy Information Administration found that 25% of households have an income under $10, 000 of which 84.3% did not own a dishwasher. However, it was found that only 21.8% of those in the over $10, 000 income range did not own a dishwasher. Find the following:

(Note: round the answers to 2 decimal places)

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

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

iii) If one household is randomly selected from the entire group, what is the probability that they own a dishwasher?  

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

v) If one household is randomly selected from the entire group and was found to have dishwasher, what is the probability that they have 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 your answer)

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orchestra answered 1 year ago
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