Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Chapter 4.6, Problem 90E
The article “A Probabilistic Model of Fracture in Concrete and Size Effects on Fracture Toughness”(Magazine of Concrete Res., 1996: 311–320) gives arguments for why fracture toughness in concrete specimens should have a Weibull distribution and presents several histograms of data that appear well fit by superimposed Weibull curves. Consider the following sample of size n = 18 observations on toughness for highstrength concrete (consistent with one of the histograms);values of pi = (i − .5)/18 are also given.
| Observation | .47 | .58 | .65 | .69 | .72 | .74 |
| Pi | .0278 | .0833 | .1389 | .1944 | .2500 | .3056 |
| Observation | .77 | .79 | .80 | .81 | .82 | .84 |
| Pi | .3611 | .4167 | .4722 | .5278 | .5833 | .6389 |
| Observation | .86 | .89 | .91 | .95 | 1.01 | 1.04 |
| Pi | .6944 | .7500 | .8056 | .8611 | .9167 | .9722 |
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Chapter 4 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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