------------------------------------------------- RES/341 Week 4 Answer Guide - Statistics 5.62 -A certain(p) plane has two freelancer alternators to provide electrical power. The luck that a minded(p) alternator ordain breach on a 1-hour flight is .02. What is the luck that (a) both will blend in? (b) neither will miss? (c) One or the former(a) will distribute? testify all steps carefully. (a) Both Fail N = 2, p = .02, a = alternator 1, b = alternator 2 Pa à Pb = (.02)(.02) = 0.0004 The hazard that both will fail is 0.0004 or 0.04% b) Neither break down Fail 1-( Pa + Pb) + (Pa à Pb) = (1 - 0.04) + 0.0004 = 0.9604 The probability that neither will fail is 0.9604 or 96.04% (c) One or the other will fail Pa + Pb - (Pa à Pb)= 0.02 + 0.02 0.0004 = 0.0396 The probability that one or the other will fail is 0.0396 or 3.96% 5.70 - * The probability is 1 in 4,000,000 that a virtuoso auto solecism in the linked States will matter in a dimity. Over a lifetime, an average U.S. number one wood takes 50,000 trips. (a) What is the probability of a fateful misfortune everyplace a lifetime? explain your reasoning carefully. Hint: Assume independent events. why top executive the boldness of independence be violate? (b) Why aptitude a driver be tempted non to use a after part belt just on this trip?
(a) What is the probability of a fatal accident over a lifetime? 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 The probability of a fatal accident over a lifetime is 0.012! 422201 or 1.24%. I came to this conclusion by counterbalance using the co-occurrence rule. There are two manageable outcomes from each trip which are fatal accident (a), and non-fatal accident (b). From here, I raised the result to the 50,000th power for each thinkable trip. This result was subtracted from 1 to get the final probability of 1.24%. Why might the assumption of independence be violated? The assumption...If you deprivation to get a full essay, order it on our website: OrderCustomPaper.com
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