Manufacturer's specifications for a solenoid states that the failure rate is 0.0012 failures/hr. a) Assuming constant failure rate, calculate the MTTF (in hrs) of this solenoid. b) What is the median time (in hour units) for this component? c) What is the probability that the solenoid will fail within the first 50 hrs of operation following installation (to 2 decimal places). d) Given that the solenoid has not failed within the first 50 hrs of operation, what will be its reliability after another 50 hrs of operation (to 2 decimal places)? e) What is the value of t (in hrs) for the highest reliability of the component?

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Manufacturer's specifications for a solenoid states that the failure rate is 0.0012 failures/hr.
a) Assuming constant failure rate, calculate the MTTF (in hrs) of this solenoid.
b) What is the median time (in hour units) for this component?
c) What is the probability that the solenoid will fail within the first 50 hrs of operation following
installation (to 2 decimal places).
d) Given that the solenoid has not failed within the first 50 hrs of operation, what will be its
reliability after another 50 hrs of operation (to 2 decimal places)?
e) What is the value of t (in hrs) for the highest reliability of the component?
Transcribed Image Text:Manufacturer's specifications for a solenoid states that the failure rate is 0.0012 failures/hr. a) Assuming constant failure rate, calculate the MTTF (in hrs) of this solenoid. b) What is the median time (in hour units) for this component? c) What is the probability that the solenoid will fail within the first 50 hrs of operation following installation (to 2 decimal places). d) Given that the solenoid has not failed within the first 50 hrs of operation, what will be its reliability after another 50 hrs of operation (to 2 decimal places)? e) What is the value of t (in hrs) for the highest reliability of the component?
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