Final_Review_Questions

# Final_Review_Questions - ESI 6321 APPLIED PROBABILITY...

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Prof. Edwin Romeijn ESI 6321 Applied Probability Methods For Engineers Final Review Spring 2008 1/5 ESI 6321 APPLIED PROBABILITY METHODS FOR ENGINEERS Midterm review – Spring 2008 Exercise 1 What is the reliability of the following system (assume that the values given are component reliabilities)? Exercise 2 The PDF for the time-to-failure of an appliance is f ( t ) = 32 ( t + 4) 3 where t is in years (a) Find the reliability function of the appliance: r(t) . (b) Find the failure rate: λ (t) . 0.90 0.95 0.85 0.90 0.95 0.98 0.85

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Prof. Edwin Romeijn ESI 6321 Applied Probability Methods For Engineers Final Review Spring 2008 2/5 Exercise 3 Suppose that the PDF for time-to-failure for a single unit is given as: f ( t ) = 1/ T , for 0 < t < T 0, otherwise (a) Find r(t) for two units in active parallel. (b) Find r(t) for two units in standby parallel.
Prof. Edwin Romeijn ESI 6321 Applied Probability Methods For Engineers Final Review Spring 2008 3/5 Exercise 4 A study was performed on the wear of a bearing y and its relationship to x 1 = oil viscosity and x 2 = load. The following data was obtained: Use the Multiple Linear Regression output from Excel (below) to answer the following

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## This note was uploaded on 05/12/2010 for the course ESI 6321 taught by Professor Josephgeunes during the Spring '07 term at University of Florida.

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Final_Review_Questions - ESI 6321 APPLIED PROBABILITY...

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