A tire manufacturer recently announced a recall because 2% of Us tires are defec

Question

A tire manufacturer recently announced a recall because 2% of Us tires are defective. If you just bought a new set of your 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 repaired 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? At least one car will need repair?

Explanation / Answer

13. This is binomial distribution with p=0.02 and n=4

We know that P(x)=ncxp^x(1-p)^n-x

So we need to find P(x>=1)=0.07763

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