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