# statistics

posted by .

I cant figure this out, please explain.

A certain airplane has (2) independent alternators to provide electrical power. The probablility that a given alternator will fail on a 1 hr flight is .02.
What is the probability that (a) both will fail (b) neither will fail (c) one or the other will fail? Show steps...

• statistics -

The probability that both will fail is 0.02 x 0.02. The probability that neither will fail is (1-0.02)*(1-0.02) = 0.98 x 0.98. The probability that one or the other will fail is (2 x 0.02 x 0.98). Why? Because there are two situations to consider here: Alternator A fails but alternator B doesn't, and alternator B fails but alternator A doesn't. The probability of each of them is the same, i.e. 0.02 x 0.98. Check that the sum of the probabilities of all three scenarios adds up to 1, because they ought to.

• statistics -

I used your example for my other problem and I was able to figure it out. Thank You!!!!

## Similar Questions

1. ### Statistics

I have 2 statistics problems that I've done and felt completely confident with them until I worked the problem a different way and got a different answer. I was wondering if you could tell me if I have the right answers or not. Thanks …
2. ### Statistics

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?
3. ### statistics

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour fight is .02. What is the probability that (a) both will fail?
4. ### Math

2independant alternators. probabalitity one will fail in a 1 hour flight is .02 what is the probablility both will
5. ### statistics

a batch of 25 used automobile alternators contains 3 defectives. if 3 alternators are sampled at random, find the probability of the event . (a). A=[none of the defectives appear ] (b). B=[exactly two defectives appear]
6. ### Statistics

Airline overbooking is a common practice. Many people make reservations on several flights due to uncertain plans and then cancel at the last minute or simply fail to show up. Jet Green airlinesâ€™ planes hold 100 passengers. Past …
7. ### statistics

Airline overbooking is a common practice. Many people make reservations on several flights due to uncertain plans and then cancel at the last minute or simply fail to show up. Jet Green airlinesâ€™ planes hold 100 passengers. Past …
8. ### Statistics

A certain type of artificial heart has four independent, critical components.Failure of any one of these components is a serious problem that will cause the artificial heart to fail. The 5 year failure rate for each component follows: …
9. ### STATISTICS

Suppose that airplane engines operate independently in flight and fail with probability 1/5. Assuming that a plane makes a safe flight if at least one-half of its engines run, what is the probability that 4-engine plane has a successful …
10. ### math

The probability that an airplane engine will fail in a transcontinental flight is 0.004. Assuming that engine failures are independent of each other, what is the probability that on a certain transcontinental flight, a four-engine …

More Similar Questions