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Unformatted text preview: Corr ( W,Z ) = Cov ( W,Z ) / p V ar ( W ) V ar ( Z ) = 50 / 61 * 100 = 0 . 64 1 Problem 4. 1. P ( X > = 750 , 000) = P (( X500 , 000) / 150 , 000 > = (750 , 000500 , 000) / 150 , 000) = P ( Z > = 5 / 3) = 0 . 0478 where Z is a standard normal distribution variable and the probability can be found from the normal distribution table or using standard statistical software. 2. Let X be the amount of water supplied. We then have P ( X > = X ) = P (( X500 , 000) / 150 , 000 > = ( X500 , 000) / 150 , 000) = P ( Z > = ( X500 , 000) / 150 , 000) = 0 . 01 Again from the standard normal distribution table or use software, we have ( X500 , 000) / 150 , 000 = 2 . 33 . Thus X = 849500 . 2...
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This note was uploaded on 12/25/2011 for the course ISYE 6413 taught by Professor Staff during the Spring '08 term at Georgia Institute of Technology.
 Spring '08
 Staff

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