Template:Example: Weibull Disribution Conditional Reliability RRX Example: Difference between revisions
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[math]\displaystyle{ R(t|T)=\frac{R(T+t)}{R(T)} }[/math]
[math]\displaystyle{ \hat{R}(10hr|30hr)=\frac{\hat{R}(10+30)}{\hat{R}(30)}=\frac{\hat{R}(40)}{\hat{R}(30)} }[/math]
(Created page with '==Weibull Distribution Example 9== What is the reliability for a new mission of t = 10 hours duration, starting the new mission at the age of T = 30 hours, for the same data as …') |
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'''Weibull Disribution Conditional Reliability RRX Example''' | |||
What is the reliability for a new mission of t = 10 hours duration, starting the new mission at the age of T = 30 hours, for the same data as Example | What is the reliability for a new mission of t = 10 hours duration, starting the new mission at the age of T = 30 hours, for the same data as [[Example: Weibull Disribution Unreliability RRX Example|Example 8]]? | ||
Solution | |||
'''Solution''' | |||
The conditional reliability is given by: | The conditional reliability is given by: | ||
<center><math>R(t|T)=\frac{R(T+t)}{R(T)}</math></center> | |||
or: | or: | ||
<center><math>\hat{R}(10hr|30hr)=\frac{\hat{R}(10+30)}{\hat{R}(30)}=\frac{\hat{R}(40)}{\hat{R}(30)}</math></center> | |||
Again, the Quick Calculation Pad can provide this result directly and more accurately than the plot. | Again, the Quick Calculation Pad can provide this result directly and more accurately than the plot. | ||
Revision as of 22:22, 29 February 2012
Weibull Disribution Conditional Reliability RRX Example
What is the reliability for a new mission of t = 10 hours duration, starting the new mission at the age of T = 30 hours, for the same data as Example 8?
Solution
The conditional reliability is given by:
or:
Again, the Quick Calculation Pad can provide this result directly and more accurately than the plot.