# Final03 - Exercise 3 Suppose that the PDF for...

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Unformatted text preview: Exercise 3 Suppose that the PDF for time-to-failure for a single unit is given as: f0t t := 1 f0 t := 0 1 f t := 0 0 < t and t < else (a) Find the reliability for two units in active parallel. For calculation purposes, let t Define F_0t t = f0t s s 0 F_0t t = t t F_ t := 1 0 t and t < T tT 2 Define r_ t = 1 - F_ t 2 t 1 - 2 r_ t := 0 0 t and t < T tT (b) Find the reliability for two units in standby parallel. Define r t = 1 - F_0t t r t =1- t t r_ t := r t + r t - s f s s 0 t 1 1 + r t - s s 0 = "Done" r_ t := 1 = "Done" t 1 - t - s s 0 = -t t - 2 2 r_ t := 1 1 1 -t t - 2 + 2 = "Done" expand r_ t 2 - t + t - 1 +1 = 2 2 r_ t 2 - t - 2t - 2 - 1 = 2 2 - t 2 - 2t - 2 - 1 2 r_ t := 2 0 0 t and t < T tT ...
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