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Unformatted text preview: MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Civil and Environmental Engineering 1.017 Computing and Data Analysis for Environmental Applications Quiz 2 (with solutions) Thursday, November 8, 2001 Please answer all questions on a separate piece(s) of paper with your name clearly identified: Problem 1 (15 points) i) Plot a sample cumulative distribution function (CDF) for the following soil conductivity (in cm/day) samples on the attached piece of graph paper. 2.72 1.44 24.28 6.96 6.40 16.30 11.72 8.63 2.94 10.52 8.48 1.63 12.77 1.50 0.14 ii) Use this sample CDF to estimate the probability that the soil conductivity at any given point lies between 5 and 10 cm/day. Solution: i) See quiz01_2sol.m for MATLAB program that plots CDF ii) Prob(5 < y ≤ 10) = 0.67  .40 = 0.37 Problem 2 (15 points) Find the mean of the following probability density function: 0 f y (y) 2/3 3 4 1 2 y 1 Solution: 6 13 6 9 6 16 3 1 3 4 6 3 ) 3 / 1 ( ) 3 / 2 ( ] [ 4 3 2 2 1 2 4 3 2 1 = − + − =...
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 Spring '05
 GeorgeKocur
 Normal Distribution, Environmental Engineering, Probability distribution, Probability theory, probability density function, Cumulative distribution function

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