A tire company produced a batch of 6,200 tires that includes exactly 270 that ar
ID: 3355550 • Letter: A
Question
A tire company produced a batch of 6,200 tires that includes exactly 270 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?
Explanation / Answer
solution:-
(a). P(defective ) = 270 / 6200
= 0.0435
p (good ) = 0.9565
p(4 good ) = 0.9565^4 = 0.837
(b) p(100 good) = 0.9565^100 = 0.012
Yes, because there is a very small chance that all 100 tires are good.
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