1) if a decision maker's utility function over a design attribute * is given by U(x) = 0.03 log10 (2x + 5), which design

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1 If A Decision Maker S Utility Function Over A Design Attribute Is Given By U X 0 03 Log10 2x 5 Which Design 1 (49.88 KiB) Viewed 96 times

1) if a decision maker's utility function over a design attribute * is given by U(x) = 0.03 log10 (2x + 5), which design should they select for the following decision? 109 0.3 0.7 Design A 23 57 Design B 0.9 0.1 11 2) Draw plots of (a) A typical reliability curve and, (2) A hazard rate curve. Explain the axes and then the trends in the functions. 3) What is the difference between hazard rate and failure rate? 4) What is the reliability of the following system at 80 hours? The components all have times to failure following the Weibull distribution with scale parameter of 55 hours and shape parameter equal to n, where n is the component number. For example component 3 has the shape parameter equal to 3. (Hint: It may help to iterate through the component numbers using a computer program such as MS Excel) c1 CS C2 C3 C6 C6 c4