# 1-Parameter Weibull Example

### From ReliaWiki

**Weibull++ Standard Folio Data 1P-Weibull**

Six prototypes of a system were tested. The failure times are 16, 34, 53, 75, 93 and 120. Due to the small sample size, the 1P-Weibull distribution is chosen to model the data. According to previous similar products, the slope parameter β is 1.5.

**Solution**

Choose the 1P-Weibull distribution in Weibull++ and calculate it, the results are given below.

- Estimated model parameters:

- Probability plot:

- Use the QCP to predict reliability:

The QCP shows that the reliability at 15 hours is 0.9054, and its two-sided confidence bounds at a confidence level of 90% are 0.7619 and 0.9644.