4.8. The time to failure in operating hours of a critical solid-state power unit has the...

4.8. The time to failure in operating hours of a critical solid-state power unit has the following hazard rate function: λ(t) = 0.003(T/500)^0.5 for t ≥ 0.

(a) What is the reliability if the power unit must operate continuously for 50 hr?

(b) Determine the design life reliability of 0.90 is desired.

(c) Compute the MTTF

(d) Given that the unit has operated for 50 hr, what is the probability that it will survive a second 50 hr of operation?

(e) The power unit is also subject to chance failures at a rate of 0.002 failure per operating hour because of the external environment. What is the power unit’s reliability for the first 50 hr of operation considering both failure modes?

Expert Solution

orchestra answered 1 year ago

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