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1. Suppose that the 3 cars were chosen randomly. Are the following events independent or not? Justify your answer. E1=The first car has a defected

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Suppose that the 3 cars were chosen randomly. Are the following events independent or not? Justify your answer.

E1=The first car has a defected fuel system

E2=The third car has a defected fuel system

2. The probability that a person smokes is 0.2. If we choose 10 persons randomly, find the probability that at most 6 of them smoke.

3. If Z follows the standard normal distribution, find P(Z 1). Is it unusual to have Z 1?

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