Etext Paper Week 4 Res341

Exercises from E-Text
RES/341
May 2nd 20

Question #1 (5.62)
A certain airplane has two independent alternators to provide galvanising power. The hazard that a given alternator will soften on a 1-hour flight is .02. What is the probability that
(a) both will fail? (b) Neither will fail? (c) integrity or the other will fail? Show all steps carefully.
act: If the probability of failure is .02 than the probability of non failing is .98
(a) both will fail= 0.02 * 0.02 = 0.0004
(b) Neither will fail= 0.98 * 0.98 = 0.9604
(c) One or the other will fail = 0.98 * 0.02= (0.0196) + 0.98* 0.02= (0.0196) = 0.0392
Question #2 (5.70)
The probability is 1 in 4,000,000 that a single motorcar slick in the United States will result in a fatality. Over a life story, an average U.S. driver takes 50,000 trips.
(a) What is the probability of a fatal possibility everyplace a lifetime? Explain your reasoning carefully. Hint: Assume independent events. wherefore might the assumption of independence be violated?
(b) why might a driver be tempted not to engagement a seat belt just on this trip?
Answer:
(a) What is the probability of a fatal accident over a lifetime?
1/4,000,000 = 0.00000025 is the probability of a fatality, so therefore 0.99999975 relates to not having a fatality.
N = 2, p = 0.



00000025, a = fatal accident, b = no fatal accident
Pa = 1 Pb
Pa = 1 0.00000025
Pa = 0.99999975 ^ 50000 = 0.987577799
Pa = 1 0.987577799
Pa = 0.012422201 or the probability of a fatal accident over a lifetime is 0.012422201 or 1.24%.

One mountain assume independence; when we are assuming that none of our front driving experiences had all fatal accidents does not make it any less likely that we will have an accident. Average drivers issue this is not true, that the probability of a fatal accident decreases as we get more than experience driving and become more mature.

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

Well, one should not be so tempted, or...If you motivation to get a full essay, order it on our website: Orderessay



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