Sunday

September 21, 2014

September 21, 2014

Posted by **Denim** on Sunday, September 7, 2008 at 4:36pm.

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 -
**David Q**, Sunday, September 7, 2008 at 4:45pmThe 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 -
**Denim**, Sunday, September 7, 2008 at 6:43pmI used your example for my other problem and I was able to figure it out. Thank You!!!!

**Answer this Question**

**Related Questions**

Statistics - A certain airplane has two independent alternators to provide ...

statistics - A certain airplane has two independent alternators to provide ...

Math - 2independant alternators. probabalitity one will fail in a 1 hour flight ...

Statistics - I have 2 statistics problems that I've done and felt completely ...

statistics - Suppose that the proportions of blood phenotypes in a particular ...

statistics - I have an airplane that has an ignition system that works like this...

statistics - a batch of 25 used automobile alternators contains 3 defectives. if...

Statistics - Given IQ~N(100, 256) find P(IQ > 115). Be certain to set your ...

Calculus (Continuity and Differentiability) - Okay. So I am given a graph of a ...

statistics - Define the concept of independent events with regards to ...