Explaining if supposition of independence be violated

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Q1) Probability is 1 in 4,000,000 that single auto trip in United States will result in fatality. Over a lifetime, the average U.S. driver takes 50,000 trips.

 

(a) Determine the probability of fatal accident over a lifetime? Describe your reasoning carefully. Hint: Suppose independent events. Why might the supposition of independence be violated?

 

(b) Why might driver is tempted not to use a seat belt "just on this trip"?

 

Q2) Certain airplane has 2 independent alternators to give electrical power. Probability that a given alternator will fail on 1-hour flight is .02. Determine the probability that

 

(a) Both will fail?  

 

(b) Neither will fail?

 

(c) One or the other will fail? Illustrate all steps carefully.

Reference no: EM1319167

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