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Probability: Airplane alternators & Fatal accidents

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October 4th, 2022

Chapter 5 – Chapter Exercises 5.62 and 5.70

Note: Methods of computation could include the usage of Excel®, SPSS®, Lotus®, SAS®, MINITAB®, or by hand computation.

5.62 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.

5.70 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”?

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