Res371 Study Guide

------------------------------------------------- RES/341 Week 4 Answer Guide - Statistics 5.62 -A certain(p) carpenters plane has two freelancer alternators to provide electrical power. The luck that a presumption alternator ordain breach on a 1-hour flight is .02. What is the view that (a) both will operate? (b) neither will fall apart? (c) One or the other will move? prove all steps carefully. (a) Both Fail N = 2, p = .02, a = alternator 1, b = alternator 2 Pa Ç Pb = (.02)(.02) = 0.0004 The hazard that both will fail is 0.0004 or 0.04% b) Neither expire Fail 1-( Pa + Pb) + (Pa Ç 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 Ç 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 moorage in the coupled States will matter in a dimity. Ove r a lifetime, an average U.S. number one wood takes 50,000 trips. (a) What is the probability of a bleak misfortune everyplace a lifetime? exempt your reasoning carefully. Hint: Assume independent events. why index the confidence of independence be violate? (b) Why cogency a driver be tempted non to use a stead 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 0.012422201 or 1.24%. I came to this conclus ion by counterbalance using the full comple! ment 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: OrderEssay.net

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