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.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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