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

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'''Weibull Disribution Conditional Reliability RRX Example'''
'''Weibull Distribution 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: Weibull Disribution Unreliability RRX Example|Example 8]]?
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]]?

Revision as of 09:19, 8 August 2012

Weibull Distribution 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