I need some help PLEASE! These are two of the problems that I need to answer for my Statistics class and I have no idea what to do or where to begin. If you could help me I would greatly appreciate it!
#1. A certain airplane has two independent alternators to provide electrical power.
The probability that 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) One or the other will fail? Show all steps carefully.
#2. 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 “just on this trip”?