Example #4IMSEIndurtrial-Monufact-Systams EngineeringA component has the following linear hazard rate, where t is inyearsa(t) = 0.4t,t > 0a) Find R(t) and determine the probability of a componentfalling within the first month of its operationb) What is the design life if a reliability of .95 is desired?

Given: λ(t)=0.4 tt is in years

Answered: A component has the following linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A component has the following linear hazard rate, where t is in years a(t) = 0.4t, t2 0 a) Find R(t) and determine the probability of a component falling within the first month of its operation b) What is the design life if a reliability of .95 is desired?