A tire company produced a batch of 5200 tires that includes

A tire company produced a batch of

5,200

tires that includes exactly

220

that are defective.

a. If 4 tires are randomly selected for installation on a car, what is the probability that they are all good?

b. If 100 tires are randomly selected for shipment to an outlet, what is the probability that they are all good? Should this outlet plan to deal with defective tires returned by consumers?

a. If 4 tires are randomly selected for installation on a car, what is the probability that they are all good?

(Round to three decimal places as needed.)

b. If 100 tires are randomly selected for shipment to an outlet what is the probability that they are all good?

(Round to three decimal places as needed.)

Solution

a) total tyre = 5200

defective tyre = 220

total good tyre = 5200 - 220 = 4980

probability of being defective tyre = 220/5200 = 0.043

probability of being good tyre = 4980/5200 = 0.957

a) 4 tyres are selcted

probability of being good = 4C4(0.957)^4(0.043)^0= 0.838

B)100 TYRE AND ALL 100 ARE GOOD = 100C100(0.957)^100(0.043)^0 = 0.0123

YES IT SHOULD DEAL WITH CUSTOMER RETURNING TYRE.

ALSO U HAVE REPEATED THE SAME PARTS TWICE