HW6 - (d) Find the reliability of component 2 at time =...

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Stat 4714 Fall 2010 HW 6: Remainder of Chapter 4 Continuous Distributions Due Friday October 1 at 1:15pm (1) A system consists of two independent components connected in a series. The life span of the first component follows a Weibull distribution with alpha = . 003 and beta = .5. The life span of the second component follows an exponential distribution with beta = 1/.00001. (a) Find the reliability function of component 1. (b) Find the reliability of component 1 at time = 2000 hours. (c) Find the reliability function of component 2.
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Unformatted text preview: (d) Find the reliability of component 2 at time = 2000 hours. (e) Find the reliability of the two component system at time=2500 hours. (f) If this system were parallel instead of series, find the reliability of the system at time=2500 hours. (g) Find the hazard rate function for the second component. (h) Evaluate the hazard rate function at 500 hours, 1000 hours and 2000 hours. Is the function increasing or decreasing? What does this tell you? (2) Find the reliability of the following system:...
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