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The time to failure, in years for a product has the following PDF:
f(t) = 200/(t + 10)^3 for t>=0
a) Derive the reliability function and determine the reliability for the first year of operation.
b) Compute the MTTF.
c) What is the design life for a reliability of 0.95?
d) Is the failure rate DFR, CFR, or IFR?
e) Will a one-year burn in period improve the reliability in part (a)? If so what is the new reliability?
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