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Get Full Access to Probability And Statistics For Engineering And The Sciences - 9 Edition - Chapter 4.4 - Problem 66
Get Full Access to Probability And Statistics For Engineering And The Sciences - 9 Edition - Chapter 4.4 - Problem 66

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# The two-parameter gamma distribution can be generalizedby introducing a third parameter ISBN: 9781305251809 122

## Solution for problem 66 Chapter 4.4

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

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Problem 66

The two-parameter gamma distribution can be generalizedby introducing a third parameter g, called a thresholdor location parameter: replace x in (4.8) by x 2 g andx \$ 0 by x \$ g. This amounts to shifting the densitycurves in Figure 4.27 so that they begin their ascent ordescent at g rather than 0. The article Bivariate FloodFrequency Analysis with Historical InformationBased on Copulas (J. of Hydrologic Engr., 2013:10181030) employs this distribution to model X 53-day flood volume (108 m3). Suppose that values of theparameters are a 5 12, b 5 7, g 5 40 (very close toestimates in the cited article based on past data).a. What are the mean value and standard deviation of X?b. What is the probability that flood volume is between100 and 150?c. What is the probability that flood volume exceeds itsmean value by more than one standard deviation?d. What is the 95th percentile of the flood volumedistribution?

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Chapter 2 Exploring Data with Graphs and Numerical Summaries 2.1 Different Types of Data Categorical Variables: These are variables that you can put into different groups, generally non-numerical answers. Things like favorite colors, political party afﬁliation, or letter grades are categorical variables. Quantitative Variables: These are variables that are represented by numerical values....

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##### ISBN: 9781305251809

The answer to “The two-parameter gamma distribution can be generalizedby introducing a third parameter g, called a thresholdor location parameter: replace x in (4.8) by x 2 g andx \$ 0 by x \$ g. This amounts to shifting the densitycurves in Figure 4.27 so that they begin their ascent ordescent at g rather than 0. The article Bivariate FloodFrequency Analysis with Historical InformationBased on Copulas (J. of Hydrologic Engr., 2013:10181030) employs this distribution to model X 53-day flood volume (108 m3). Suppose that values of theparameters are a 5 12, b 5 7, g 5 40 (very close toestimates in the cited article based on past data).a. What are the mean value and standard deviation of X?b. What is the probability that flood volume is between100 and 150?c. What is the probability that flood volume exceeds itsmean value by more than one standard deviation?d. What is the 95th percentile of the flood volumedistribution?” is broken down into a number of easy to follow steps, and 151 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences, edition: 9. The full step-by-step solution to problem: 66 from chapter: 4.4 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. Since the solution to 66 from 4.4 chapter was answered, more than 225 students have viewed the full step-by-step answer. Probability and Statistics for Engineering and the Sciences was written by and is associated to the ISBN: 9781305251809.

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