Template:Example: Weibull Disribution Conditional Reliability RRX Example

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:

$$R(t|T)=\frac{R(T+t)}{R(T)}$$

or:

$$\hat{R}(10hr|30hr)=\frac{\hat{R}(10+30)}{\hat{R}(30)}=\frac{\hat{R}(40)}{\hat{R}(30)}$$

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