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Question: problem 2 t a derive and sketch the failure density...

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Problem 2 t. (a) Derive and sketch the failure density function (3 marks) (b) Derive and sketch the and sketch the reliability function (3 marks) (c) Derive and sketch the hazard rate function (3 marks) (d) Would you recommend a burn in period for this motor, why or why not? (3 marks) (e) What is the probability a new motor will last more than 2 years? (3 marks) (f) Determine the mean time to fail for the motor. (3 marks) (g) What is the median time to fail for this motor? (3 marks) (h) Suppose a motor is still working after 3 years. What is the probability that it will still be working in year 4? (3 marks) (i) Does this motor exhibit memory less property? Explain. (3 marks)

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