5.62 A certain airplane has two independent alternators to provide electrical power. The probabilitythat a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) On e or the other will fail? Show all steps carefully.
5.70 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 â??just on this tripâ??
The two alternators are independent of each other. So
(a) the probability that both will fail is the product of the probabilities that each one will fail:
P(both will fail) = 0.02 * 0.02
(b) The probability that an alternator will not fail ...
Continuous Probability Distribution is exemplified.