Suppose the performance of a pile foundation system is governed by the pile withthe smallest capacity. The weakest pile associated with this foundation systemfollows a type III asymptotic distribution of the smallest value with = 2 tons, amean value of 15 tons and a coefficient of variation of 20%. Determine theprobability that the weakest pile of this system will have capacity less than thedesign load of 10 tons.

The given value of the mean is equal to 15 and the value of Coefficient of variation=20%=0.2. The…

Answered: Suppose the performance of a pile…

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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A point estimate consists of a single sample that is used to estimate the true population parameter. is a method of using samples to estimate population parameters.
A weight-loss program wants to test how well their program is working. The company selects a simple random sample of 51 individual that have been using their program for 15 months. For each individual person, the company records the individual's weight when they started the program 15 months ago as an x-value. The subject's current weight is recorded as a y-value. Therefore, a data point such as (205, 190) would be for a specific person and it would indicate that the individual started the program weighing 205 pounds and currently weighs 190 pounds. In other words, they lost 15 pounds. When the company performed a regression analysis, they found a correlation coefficient of r = 0.707. This clearly shows there is strong correlation, which got the company excited. However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is…
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