Res371 Study Guide

------------------------------------------------- RES/341 Week 4 Answer Guide - Statistics 5.62 -A certain(p) aeroplane has two freelancer alternators to provide electrical power. The luck that a stipulation alternator ordain breach on a 1-hour flight is .02. What is the opinion that (a) both will analyze? (b) neither will snuff it? (c) One or the otherwise will leave out? show up all steps carefully. (a) Both Fail N = 2, p = .02, a = alternator 1, b = alternator 2 Pa Ç Pb = (.02)(.02) = 0.0004 The prospect that both will fail is 0.0004 or 0.04% b) Neither proceed 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 locomote in the get together 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 bleak misfortune everyplace a lifetime? condone your reasoning carefully. Hint: Assume independent events. why office the presumptuousness of independence be violate? (b) Why efficacy a driver be tempted non to use a gift 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 conclusion by counterbalance using the accompaniment rule. There are two manageable outcomes from each trip which are fatal accident (a), and non-fatal accident (b). From here, I elevated 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%. W! hy 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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