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# The article A Probabilistic Model of Fracture inConcrete and Size Effects on Fracture

ISBN: 9781305251809 122

## Solution for problem 90 Chapter 4.6

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 90

The article A Probabilistic Model of Fracture inConcrete and Size Effects on Fracture Toughness(Magazine of Concrete Res., 1996: 311320) givesarguments for why fracture toughness in concrete specimensshould have a Weibull distribution and presentsseveral histograms of data that appear well fit by superimposedWeibull curves. Consider the following sampleof size n 5 18 observations on toughness for highstrengthconcrete (consistent with one of the histograms);values of pi 5 (i 2 .5)y18 are also given.Observation .47 .58 .65 .69 .72 .74pi .0278 .0833 .1389 .1944 .2500 .3056Observation .77 .79 .80 .81 .82 .84pi .3611 .4167 .4722 .5278 .5833 .6389Observation .86 .89 .91 .95 1.01 1.04pi .6944 .7500 .8056 .8611 .9167 .9722Construct a Weibull probability plot and comment.

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##### ISBN: 9781305251809

This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences, edition: 9. The answer to “The article A Probabilistic Model of Fracture inConcrete and Size Effects on Fracture Toughness(Magazine of Concrete Res., 1996: 311320) givesarguments for why fracture toughness in concrete specimensshould have a Weibull distribution and presentsseveral histograms of data that appear well fit by superimposedWeibull curves. Consider the following sampleof size n 5 18 observations on toughness for highstrengthconcrete (consistent with one of the histograms);values of pi 5 (i 2 .5)y18 are also given.Observation .47 .58 .65 .69 .72 .74pi .0278 .0833 .1389 .1944 .2500 .3056Observation .77 .79 .80 .81 .82 .84pi .3611 .4167 .4722 .5278 .5833 .6389Observation .86 .89 .91 .95 1.01 1.04pi .6944 .7500 .8056 .8611 .9167 .9722Construct a Weibull probability plot and comment.” is broken down into a number of easy to follow steps, and 113 words. Probability and Statistics for Engineering and the Sciences was written by and is associated to the ISBN: 9781305251809. Since the solution to 90 from 4.6 chapter was answered, more than 232 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 90 from chapter: 4.6 was answered by , our top Statistics solution expert on 11/08/17, 04:06AM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 88 chapters, and 2432 solutions.

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