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The Answer to Probability Questions.

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1. A certain airplane has 2 independent alternators to provide electrical power. The probability that a given alternator will fail on a 1 hour flight is 0.02 . Please show work so that I can understand for future problems.
Probability: a) both will fail?
b) neither will fail?
c) one or the other will fail?

2. Probability is 1 in 4,000,000 that a single auto trip will result in a fatality. over a lifetime an average driver takes 50,000 trips.
a) What is probability of fatal accident over a lifetime? (independent events)
b) Why might the assumption of independence be violated?
c) Why might a driver be tempted Not to use a seat belt "just for this trip?

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Solution Summary

The probability that a single auto trip will result in a fatality is determined. The solution computes the probability that a given alternator will fail.

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1. A certain airplane has 2 independent alternators to provide electrical power. The probability that a given alternator will fail on a 1 hour flight is 0.02 . Please show work so that I can understand for future problems.

Probability: a) both will fail?

We know that the probability that one will fail is 0.02. The two alternators are independent of one another. The probability that both will fail is found by multiplying the individual probabilities together:

(0.02)(0.02) = ...

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