A tire company produced a batch of 6, 400 tires that includes exactly 220 that a

Question

A tire company produced a batch of 6, 400 tires that includes exactly 220 that are defective. If 4 tires are randomly selected for installation on a car, what is the probability that they are all good? 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? If 4 tires are randomly selected for installation on a car, what is the probability that they are all good? 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? Yes, because there is a very large chance that all 100 tires are good. No, because there is a very large chance that all 100 tires are good. No, because there is a very small chance that all 100 tires are good. Yes, because there is a very small chance that all 100 tires are good.

Explanation / Answer

Solution:-
a. P(defective) = 220/6400 = 0.034
P(good) = 1 - 0.034 = 0.966
P(4 good) = (0.966)^4 = 0.8707

b. P(100 good) = (0.966)^100 = 0.0315
option D.yes,because there is a very small chance that all 100 tires are good

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