The ABS energy survey reports that 45% of all Australian households have an air conditioner and that
Question:
The ABS energy survey reports that 45% of all Australian households have an air conditioner and that 30% of all Australian households have a dishwasher. An Australian household is randomly selected.
(a) Assume that whether a household has a dishwasher is unrelated to whether the same household has an air conditioner. Use the special law of multiplication to determine the probability that the household has both an air conditioner and a dishwasher.
(b) Suppose another report states that if an Australian household has a dishwasher, the probability of this household having an air conditioner is 80%. Use the general law of multiplication to determine the probability that the household has both an air conditioner and a dishwasher. Does it appear that whether a household has a dishwasher is related to whether the same household has an air conditioner?
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