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Applied Statistics: Auto Trip leading to a Fatal accident

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The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips.

(a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent
events. Why might the assumption of independence be violated?
(b) Why might a driver be tempted not to use a seat belt "just on this trip"?

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(a) Probability of one fatal accidents over a lifetime = 1 ? Probability of no fatal accidents over a lifetime.

P(no fatal accident over a lifetime) = P(no fatal accident in the 50000 trips) = P(no fatality on 1st trip and no fatality on 2nd trip and no fatality of 3rd trip and ... and no fatality of 49999th trip and no fatality on 50000th trip)

P(one single auto trip in the United States resulting ...

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