1. ## Probability

I need assistance with the following problems:

Problem 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.

Problem # 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
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”?

2. Originally Posted by deepnthought
I need assistance with the following problems:

Problem 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.

Mr F says: Drawing a tree diagram is a simple approach to take.

Problem # 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