Assignment 7 solutions - CE93-Engineering Data Analysis...

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Unformatted text preview: CE93-Engineering Data Analysis Mark Hansen, Fall 2009 Assignment 7 Solutions 1. Problem 5.5 in Ross. gG = gG = Probability of a 4 engine plane or a 2 engine plane operating is a binomial success probability. We want situation where gG4 > gG2 gG4 = 1 gG0 gG1 = 1 4 G1 4 1 G1 = 1 G1 4 G1 gG2 = 1 gG0 = 1 2 G1 = 1 G1 1 G1 4 G1 > 1 G1 G1 + 4G1 < G1 G1 G1 + 4 < G1 G1 G1 + 3 < 1 0 < 1 G1 + 2 3 0 < G3 2 > 2 3 2. Poisson earthquakes. = 1 50 / gG u = gG u = 0.2 , = 1, ,6 gG u gG u gG u a) Probability of a strong earthquake occurring in the next 30 years. G = 1 = G 1 50 30 1! = 0.3293 b) Probability that three bridges will collapse in the event of a strong earthquake. Binomial r.v.: gG3 u = 6 3 0.2 G1 0.2 = 0.08192 c) Probability of not having any earthquake induced bridge collapses in the next 30 years. Probability that you have no bridge collapses given that 0,1,2, , earthquakes occur. CE93-Engineering Data Analysis Mark Hansen, Fall 2009 gG...
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Assignment 7 solutions - CE93-Engineering Data Analysis...

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