Homework Help is Here – Start Your Trial Now!
Math
Statistics
(a) What are the mean value and standard deviation of In(X)? (Round your answers to four decimal places.) mean value standard deviation 9.1206 1.1662 x

(a) What are the mean value and standard deviation of In(X)? (Round your answers to four decimal places.) mean value standard deviation 9.1206 1.1662 x

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

a and d only pls

0 (cv = ³x). 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. An article suggests 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 10,661 kg/day/km and a coefficient of variation CV = 0.60 USE SALT (a) What are the mean value and standard deviation of In(X)? (Round your answers to four decimal places.) mean value 9.1206 standard deviation 1.1662 ✓ X (b) What is the probability that X is at most 15,000 kg/day/km? (Round your answer to four decimal places.) 0.8141 (c) What is the probability that X exceeds its mean value? (Round your answer to four decimal places.) 0.3908 Why is this probability not 0.5? Since the lognormal distribution is not ✓ a symmetric distribution, the mean and the median of X are not the same and, in particular, the probability X exceeds its own mean [does not (d) Is 17,000 the 95th percentile of the distribution? If not, find the percentile. (If 17,000 is the 95th percentile, enter 95. If necessary, round your answer to the nearest percentile.) 70 Xpercentile You may need to use the appropriate table in the Appendix of Tables to answer this question. equal 0.5.
Transcribed Image Text:0 (cv = ³x). 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. An article suggests 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 10,661 kg/day/km and a coefficient of variation CV = 0.60 USE SALT (a) What are the mean value and standard deviation of In(X)? (Round your answers to four decimal places.) mean value 9.1206 standard deviation 1.1662 ✓ X (b) What is the probability that X is at most 15,000 kg/day/km? (Round your answer to four decimal places.) 0.8141 (c) What is the probability that X exceeds its mean value? (Round your answer to four decimal places.) 0.3908 Why is this probability not 0.5? Since the lognormal distribution is not ✓ a symmetric distribution, the mean and the median of X are not the same and, in particular, the probability X exceeds its own mean [does not (d) Is 17,000 the 95th percentile of the distribution? If not, find the percentile. (If 17,000 is the 95th percentile, enter 95. If necessary, round your answer to the nearest percentile.) 70 Xpercentile You may need to use the appropriate table in the Appendix of Tables to answer this question. equal 0.5.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS