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.
(b) Why might the assumption of independence be violated?
(c) Why might a driver be tempted not to use a seat belt "just on this trip"?