Q1) The probability is 1 in 4,000,000 that single auto trip in United States will result in fatality. Over lifetime, an average U.S. driver takes 50,000 trips.
(a) Determine the probability of the fatal accident over a lifetime? Describe your reasoning carefully. Suppose independent events. Why might supposition of independence be violated?
(b) Why might driver be tempted not to use seat belt "just on this trip"?
Q2) A certain airplane has 2 independent alternators to give electrical power. Probability that a given alternator will fail on the 1-hour flight is .02. Determine the probability that:
(a) both will fail?
(b) Neither will fail?
(c) One or the other will fail? Show all steps carefully.