Answered: Determine the probability of failure of…

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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Determine the probability of failure of a steel tension member in a truss that supports widely varying snow loads given the following data on the loading placed on the member (Q) and the member strength (R); Q = 8,000 lbs and COV = 0.27 and R = 15,000 lbs and COV = 0.08. First solve assuming that each variable, Q and R were represented by a normal distribution and then resolve assuming that each was best represented by a log-normal distribution.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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