max (a) A structure consists of 100 column footings. Suppose the settlement of each footing is exponentially distributed with a mean of 2 inches and the settlements between footings are statistically independent. What is the probability that the maximum settlement S among the 100 footings will not exceed 5.0 inches? Compare this exact probability with the answer obtained assuming an appropriate asymptotic distribution for S. (b) What is the probability that the minimum settlement Sis at least 0.5 inch? (c) Determine the mean and coefficient of variation of the maximum differential settlement A defined as (S-Smin). min max
max (a) A structure consists of 100 column footings. Suppose the settlement of each footing is exponentially distributed with a mean of 2 inches and the settlements between footings are statistically independent. What is the probability that the maximum settlement S among the 100 footings will not exceed 5.0 inches? Compare this exact probability with the answer obtained assuming an appropriate asymptotic distribution for S. (b) What is the probability that the minimum settlement Sis at least 0.5 inch? (c) Determine the mean and coefficient of variation of the maximum differential settlement A defined as (S-Smin). min max
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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