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Unformatted text preview: mp; Uncertainty Homework 4 Spring 2011 (Bond) Probability Distributions, Expected Values 4) The distribution of the number of imperfections in a truss (X) is given by x P(x) 0 0.341 1 0.277 2 0.153 3 0.102 4 0.068 5 0.036 6 0.023 a) Graph the probability mass function and the cumulative distribution function. b) What is the probability that the number of imperfections is 3 or 4? c) What is the probability that in two trusses, the total number of imperfections will be 7? c) What is the expected number of imperfections? d) What is the variance of the number of imperfections? 4.a) x P(x) F(x) 0 0.341 0.341 1 0.277 0.618 2 0.153 0.771 3 0.102 0.873 4 0.068 0.941 5 0.036...
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This document was uploaded on 03/06/2014 for the course CEE 202 at University of Illinois, Urbana Champaign.

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