200 The density function of the time to failure in years of the machine is given by f(t) = (t+10)3, t≥ 0. (a) Drive 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 0.95? (d) Will a one-year burn in period improve the reliability in part (a), If so, what is the new 1-116-9

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