Res/341 Week 4 E Exercises

E-TEXT EXERCISES Rhonda Campbell Res/341 April 30, 2012 5.62 A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator range on go on a 1-hour flight is .02. evince alto dragher steps care across-the-boardy What is the probability that (a) Both will divulge? (b) Neither will fail? (c) One or the divergent will fail? Answer: A: foremost alternator will fail B: Second alternator will fail P(A) = 0.2 P(B) = 0.2 (a) P(both will fail) = P(A n B) = 0.2 x 0.2 = 0.04 (b) P(neither will fail) = P(A n B) = (1-0.2) x (1-0.2) = 0.64 (c) P(one will fail) = P(A n B) + P(A n B) = 0.2(1-0.2) + (1-0.2)0.2 = 0.32 5.70 The probability is 1 in 4,000,000 that a single motorcar slip of paper in the United States will emergence in a Fatality. everyplace a lifetime, an average U.S. drivewayr takes 50,000 skids. (a) What is the probability of a fatal slash over a lifetime? (b ) why talent a driver be tempted not to intent a home belt just on this gaffe?

Answer: a)Assuming independence, P(X ? 1) = 1 - P(X = 0) = 1 - (3,999,999/4,000,000)^50,000 = 0.0124 = 1.24% Assumption of independence competency be violate beca rehearse the driver can not drive if in a fatal accident. In other words, result of one trip is not totally separate of the trips make before. b) The driver might not follow the same outmatch or despatch each time. He/she might not be tempted to use a seat belt sometimes. indeed the probability of a fatal accident is also different from trip to trip in the actual case.If you want to get a fu ll essay, order it on our website: OrderEssay.net

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