Reliability and Optimization Methods

HW 1, Reliability and Optimization Methods in Engineering Course, Due Feb 18th

1. What is the basic definition of risk and how it can be calculated?
2. What are the ways to deal with uncertainty in the engineering analysis?
3. What are the two types of uncertainties and their differences?
4. How to determine the coefficient of correlation? What does 0.70 quantile
   mean?
5. What is the difference between mean, median and mode?
6. What are the four methods for graphical representation of a data set for
   uncertainty representation?
7. How to determine upper quantile value and lower quantile value in Turkey
   Box plot?
8. What is the definition of random variables?
9. What are the typical probability distribution (please list at least five)?
   10.What is the difference between normal distribution and standard normal
   distribution?
   11.Please determine the mean, standard deviation, coefficient of variation,
   skewness coefficient, kurtosis coefficient for the percent fine and plasticity
   index from soil testing results from the following table. Please also draw
   the histogram for percent fine and plasticity index.
   12 Please calculate using the PMF Plot.
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   .HW 2, Reliability and Optimization Methods in Engineering Course, Due March
   3rd
10. What are the three approaches to determine soil variability data?
11. What are the typically used reliability methods for engineering problems?
12. What are the three advantages using Taylor expansion method in reliability
    analysis?
13. How to determine the probability of failure based on the reliability index?
14. What is the three sigma rules and how the standard deviation is
    determined using three sigma rules? (from the reading assignment)
15. What are procedures for Duncan’s method to determine reliability index?
16. How to generate correlated and Duncan’s method random vectors using
    Monte Carlo simulation for reliability analysis?
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