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Unformatted text preview: d. We need the top .0005 and the bottom .0005 of the distribution. Using the Z table, both .9995 and . 0005 have multiple z values, so we will use a middle value, ±3.295. Then 3432±(482)3.295 = 1844 and 5020, or the most extreme .1% of all birth weights are less than 1844 g and more than 5020 g. e. Converting to lbs yields mean 7.5595 and sd 1.0608. Then This yields the same answer as in part c . STATW1211.005 Prof. Zhang TR 02:40P03:55P Question 62 a. Clearly E(X) = 0 by symmetry, so V(X) = E(X 2 ) = = = . Solving = (40.9) 2 yields λ = 0.034577 b. P(X – 0 ≤ 40.9) = = = 1 – e –40.9 λ = .75688 Question 66 a. μ = 20, σ 2 = 80 ⇒ αβ = 20, αβ 2 = 80 ⇒ β = , α = 5 b. P(X ≤ 24) = = F(6;5) = .715 c. P(20 ≤ X ≤ 40) = F(10;5) – F(5;5) = .411...
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 Spring '08
 Hernandez
 Statistics, Probability, Prof. Zhang, L. Devore Chapter

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