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# 2 (2) - Reliability The probability that a component or...

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MFG5350 1 Reliability 1000 electric bulbs are tested after used for 2000 hours. It is found that 600 bulbs fails at 2000 hours, another 50 fail in the next 100 hours and another 50 fail in the following 100 hours. What are the reliability at 2000 hours and 2100 hours? R(2000)=(# of surviving)/Total # =(1000-600)/1000=0.4 The probability that a component or system will perform a required function for a given period of time when used under stated operating conditions. R(2100)=(# of surviving)/Total # =(1000-650)/1000=0.35

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MFG5350 2 Failure rate (or hazard rate) Failure rate at any given time is the proportion that will fail in the next unit of time, out of those units that have survived up to that time. 1000 electric bulbs are tested after used for 2000 hours. It is found that 600 bulbs fails at 2000 hours, another 50 fail in the next 100 hours and another 50 fail in the following 100 hours. What are the failure rate at 2000 hours and 2100 hours? h(2000)=(# of failing per hour following 2000 hours)/# of surviving at 2000 hours=(50/100)/400=0.00125 units/hour h(2100)=(# of failing per hour following 2100 hours)/# of surviving at 2100 hours=(50/100)/350=0.0014 units/hour
MFG5350 3 In-class Exercise

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2 (2) - Reliability The probability that a component or...

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