A manufacturer of teddy bears has three assembly lines: 1, 2 and 3. The percentages of total daily output that are produced by the lines are 25%, 35% and 40%, respectively. The percentages of defective units produced by the lines are estimated to be 1%, 2% and 1% respectively. If a teddy bear is randomly selected from a day's production, what is the probability that it is defective?
On Friday a store advertised a special sale for Saturday. On Saturday it was found that 60% of customers had known about the sale and, of these customers, 40% bought a sale item. Of the customers that had not known about the sale, 20% bought a sale item. If a customer bought a sale item, what is the probability that he or she had known about the sale?
to find this percentage, you need to divide the number of people who knew about the sale and bought a sale item by the number of people who bought a sale item.
.6(.4) = .24 so 24% of people bought a sale item and knew about the sale
.4(.2) = .08 so 8% of people bought a sale item but did not know about the sale
So then your ratio is: