Atire company produced a batch of 6 comma 700 tires that includes exactly 250 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?

the probability that if you pick only one, it's defective, is 250/6700

Therefore, the probability that one is not defective is 6450/6700

a. You want all 4 to not be defective: (6450/6700)^4

b. all 100 have to be not defective: (6450/6700)^100

If you type this into a calculator, you will get about 0.022, so a probability of 2 % that all of them are not defective. As this is a very small probability, the outlet should plan with returned tires.

any value for t can make this true.

Step-by-step explanation:

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