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?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Example #4
A component has the following linear hazard rate, where t is in
years
2(t) = 0.4t,
t >0
%3D
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?
Transcribed Image Text:Example #4 A component has the following linear hazard rate, where t is in years 2(t) = 0.4t, t >0 %3D 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?
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