The observed annual maximum runoff, X, in the Kızılırmak River has been modelled by a normal distribution with parameters, µx = 256.7 m³/sec and ox = 191 m³/sec. a) Compute the probability that X > 400 m³/sec according to the normal distribution model. b) If X is now assumed to be lognormally distributed, find the parameters of this lognormal distribution and again compute the probability that X > 400 m³/sec according to the lognormal model. c) Compare the probabilities you have computed according to this two models. Why are the results different? Comment.
The observed annual maximum runoff, X, in the Kızılırmak River has been modelled by a normal distribution with parameters, µx = 256.7 m³/sec and ox = 191 m³/sec. a) Compute the probability that X > 400 m³/sec according to the normal distribution model. b) If X is now assumed to be lognormally distributed, find the parameters of this lognormal distribution and again compute the probability that X > 400 m³/sec according to the lognormal model. c) Compare the probabilities you have computed according to this two models. Why are the results different? Comment.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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