Question 155182: 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”?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
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(a) What is the probability of a fatal accident over a lifetime?
Prop = np = 50,000*(1/4x10^6) = 0.0125
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Explain your reasoning carefully.
Hint: Assume independent events.
Why might the assumption of independence be violated?
Some people have more accidents than others; not all people are equally
accident prone.
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(b) Why might a driver be tempted not to use a seat belt “just on this trip”?
The probability of an accident on any given trip is low.
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Cheers,
Stan H.
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