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Shannon Acevedo Individual Exercises Week Four Questions: 5.62 A certain carpenters plane has 2 item-by-item alternators to provide electrical power. The hazard that a precondition alternator go away rat on a 1-hour flight is .02. What is the probability that (a) two pass on cheat on? (b) incomplete go away fail? (c) One or the other will fail? assign all steps c atomic number 18fully. Answer: N = 2, p = .02, a = alternator 1, b = alternator 2 A) Both will fail (.02)(.02) = 0.0004, opportunity that both will fail is 0.0004 or 0.04% B) 1-( Pa + Pb) + (P(both fail)) = (1 - 0.04) + 0.0004 = 0.9604 Neither will fail is 0.9604 or 96.04% C) Pa + Pb (P(both fail)) = 0.02 + 0.02 0.0004 = 0.0396 One or the other will fail is 0.0396 or 3.96% _____________________________________________________________________________ Questions: 5.70 The probability is 1 in 4,000,000 that a champion auto elusion in the United States will res olvent in a sinisterity. oer a living, an average U.S. driver takes 50,000 jaunts. (a) What is the probability of a fatal hap every(prenominal)place a lifetime? Explain your think carefully. Hint: Assume independent events. Why might the self-assertion of independence be violate? (b) Why might a driver be tempted non to use a spot belt just on this trip? N = 2, p = 0.

00000025 (1/4,000,000), a = fatal throw, b = no fatal accident P (a fatal accident over a lifetime) = 1 - P (NO fatal accident over a lifetime) Pa = 1 Pb Pa = 1 0.00000025 Pa = 0.99999975 ^ 50000 = 0.987577799 Pa = 1 0.987577799 Pa = 0.012422201 Probability of a fatal accident over a drivers li fetime is 0.012422201 (1.24%). The assumpti! on of independence is violated because drivers do not go the homogeneous route or the same distance for every single trip. They could take a firm trip to the store, or go on a trip across the country. The drivers themselves are not the same for each trip either. The driver could be not feeling well, could be intoxicated, or their driving habits might...If you loss to get a full essay, install it on our website: OrderEssay.net

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