Template:Example: Weibull Disribution Conditional Reliability RRX Example: Difference between revisions

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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>
::<math>R(t|T)=\frac{R(T+t)}{R(T)}</math>


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>
::<math>\hat{R}(10hr|30hr)=\frac{\hat{R}(10+30)}{\hat{R}(30)}=\frac{\hat{R}(40)}{\hat{R}(30)}</math>




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.


[[Image: Conditional R.png|thumb|center|450px]]
[[Image: Conditional R.png|center|550px]]

Revision as of 05:29, 6 August 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:

[math]\displaystyle{ R(t|T)=\frac{R(T+t)}{R(T)} }[/math]

or:

[math]\displaystyle{ \hat{R}(10hr|30hr)=\frac{\hat{R}(10+30)}{\hat{R}(30)}=\frac{\hat{R}(40)}{\hat{R}(30)} }[/math]


Again, the Quick Calculation Pad can provide this result directly and more accurately than the plot.

Conditional R.png