An appliance manufacturer offers extended warranties on its washers and dryers. Based on past sales, the manufacturer reports that of customers buying both a washer and a dryer, 52% purchase the extended warranty for the washer, 49% purchase the extended warranty for the dryer, and 61% purchase at least one of the two extended warranties.
(a)
Use the given probability information to set up a hypothetical 1,000 table. (Let W be the event that the customer purchases an extended warranty for the washer. Let D be the event the customer purchases an extended warranty for the dryer.)
D | Not D | Total | |
---|---|---|---|
W | |||
Not W | |||
Total | 1,000 |
(b)
Use the table from part (a) to find the following probabilities.
(i)
the probability that a randomly selected customer who buys a washer and a dryer purchases an extended warranty for both the washer and the dryer
(ii)
the probability that a randomly selected customer purchases an extended warranty for neither the washer nor the dryer
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