(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 Samong 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 S is at least 0.5 inch? (c) Determine the mean and coefficient of variation of the maximum differential settlement A defined as (S-S). max min max max min

(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 Samong 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 S is at least 0.5 inch? (c) Determine the mean and coefficient of variation of the maximum differential settlement A defined as (S-S). max min max max min

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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