Exercises from E-Text RES/341 May 2nd 20 Question #1 (5.62) A certain airplane has two freelance alternators to entrust galvanising power. The hazard that a given alternator go out hold on a 1-hour flight is .02. What is the probability that (a) two 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) wizard 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 railcar slick in the United States will result in a sinisterity. Over a life story, an average U.S. number one wood 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 go against? (b) why might a number one wood be tempted non to engagement a seat belted ammunition just on this trip? Answer: (a) What is the probability of a fatal incident 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 cerebrovascular 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 0.0124 22201 or 1.24%. One mountain assume inde! pendence; when we are presume that none of our front drive experiences had all fatal accidents does not make it any less likely that we will shed 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, state it on our website: OrderCustomPaper.com
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