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a. se Equation (4.13) to write a formula for the median of

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 80E Chapter 4

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 80E

a.? se Equation (4.13) to write a formula for the median of the lognormal distribution. What is the median for the load distribution of Exercise 79? b.? ?Recalling that z? 100(1 – ?)is our notation for the percentile of the standard normal distribution, write an expression for the 100(1 – ?) percentile of the lognormal distribution. In Exercise 79, what value will load exceed only 1% of the time? Reference exercise 79 Nonpoint source loads are chemical masses that travel to the main stem of a river and its tributaries in flows that are distributed over relatively long stream reaches, in contrast to those that enter at well-defined and regulated points. The article “Assessing Uncertainty in Mass Balance Calculation of River Nonpoint Source Loads” (?J. of Envir. Engr., 2 ? 008: 247–258) suggested that for a certain time period and location X = nonpoint source load of total dissolved solids could be modeled with a lognormal distribution having mean value 10,281 kg/day/km and a coefficient of variation CV = .40(cv = ?x/?x). a.?? hat are the mean value and standard deviation of ln(?X) ? ? b.?? hat is the probability that ?X ?is at most 15,000 kg/day/km? c.? ?What is the probability that ?X ?exceeds its mean value, and why is this probability not .5? d.? ?Is 17,000 the 95th percentile of the distribution? Reference equation 4.13

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Lesson 8 Section A JSL Notes Classifiers to know: zi: Hours on the clock hun: Minutes zikan: Hours ka/niti: counting days/ days of the month Tip: Some of the counting days/days of the month are similar to the irregular counting system or counting system used for numbers without classifiers. Knowing this numerical system may help ease memorization and will definitely be important later when learning Japanese. Review the following numbers: huto-tu: 1 unit mut-tu: 6 units huta-tu: 2 units nana-tu: 7 units mit-tu: 3 units yat-tu: 8 units yot-tu: 4 units kokono-tu: 9 units itu-tu: 5 units too: 10 units Goro VS. Gurai Goro is used for approximate points in time. It is not for exact times or general time frames. An example of this would be “san-zi-goro,” which means about “About 3’oclock.” Gurai is used for approximate time frames. As opposed to being about a specific point in time like goro, it is used to describe and amount of time. An example of this would be “san-zikan- gurai,” which means “Around 3 hours.”

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Chapter 4, Problem 80E is Solved
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Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

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a. se Equation (4.13) to write a formula for the median of