A drugstore receives a shipment of sixty vials of a certain

A drugstore receives a shipment of sixty vials of a certain pharmaceutical. Previous experience indicates that such a shipment will result in about 2 percent of the vials being damaged. Find the expected number of undamaged vials in the shipment. The probability that a new light bulb will be defective is 0.005. If a lot of 5000 light bulbs were purchased from the same company, what is the expected number of defective light bulbs in the lot? Suppose that 20 percent of the used cars of Lemons Automobile Company are defective. If 30 cars were sold in a given week, how many of these cars would you expect to be defective?

Solution

5.113.

Probability that a vial will be damaged=0.02

Probability that a vial remains undamaged=0.98

Expected no. of undamaged vials in the shipment=0.98*60=58.8~59

5.114

Probability that a new bulb will be defective=0.005

Expected no. of defective lighth bulbs in a lot of 5000= 5000*0.005=25

5.122

Probability of a car being defective=0.2

Expected no. of defective cars in a week=30*0.2=6