Question

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, 42% purchase the extended warranty for the washer, 46% purchase the extended warranty for the dryer, and 58% purchase at least one of the two extended warranties.

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, 42% purchase the extended warranty for the washer, 46% purchase the extended warranty for the dryer, and 58% 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.) 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

Answer 1

	D	not D	ttoal
W	300	120	420
not W	160	420	580
total	460	540	1000

b)

probability =300/1000 =0.3

c)

probability =420/1000 =0.42