# Continuous Probability Distribution

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??

https://brainmass.com/math/probability/continuous-probability-distribution-404898

#### Solution Preview

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 ...

#### Solution Summary

Continuous Probability Distribution is exemplified.