A tire manufacturer recently announced a recall because 2% its tires are defecti

Question

A tire manufacturer recently announced a recall because 2% its tires are defective. If you just bought a new set of four tires from this manufacturer, what is the probability that at least one of your new tires is defective? An automobile company estimates that over a 1-year period 15% of cars will need reaired only once, 6% will need repairs exactly twice, and 3% will require three or more repairs. If you buy a new car from them, what is the probability that your car will need: No repairs? No more than one repair? Some repairs? If you bought two cars, what is the probability Neither will need repair? Both will need repair?

Explanation / Answer

13. P=0.02

We need to find probability that atleast one out of 4 are defective. We can find 1-P(none is defective)

1-4C0*(0.02)0(0.98)4= 7.76%

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