(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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Hi. I was wondering if I could get help on how to approach part c of this problem
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