# Weibull distribution (chart) Calculator

## Calculates a table of the probability density function, or lower or upper cumulative distribution function of the Weibull distribution, and draws the chart.

 select functions probability density flower cumulative distribution Pupper cumulative distribution Q shape parameter a a＞0 scale parameter b b＞0 [ initial percentile x x≧0 increment repetition ]
 $\normal Weibull\ distribution\\[10](1)\ probability\ density\\\hspace{30}f(x,a,b)={\large\frac{a}{b}(\frac{x}{b})^{a-1}e^{-(\frac{x}{b})^a}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,a,b)={\large\int_{\small 0}^{\hspace{25pt}\small x}}f(t,a,b)dt={\large 1-e^{-(\frac{x}{b})^a}}\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,a,b)={\large \int_{\small x}^{\hspace{25}\small\infty}}f(t,a,b)dt={\large e^{-(\frac{x}{b})^a}}\\$

Weibull distribution (chart)
 [1-10] /11 Disp-Num5103050100200
[1]  2018/09/07 19:04   Female / 30 years old level / An engineer / Useful /
Purpose of use
failure analysis
[2]  2017/11/15 04:37   Male / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
[3]  2017/05/23 15:05   Female / 30 years old level / An engineer / A little /
Purpose of use
For failure rate analysis
Comment/Request
Graph cannot be displayed.
[4]  2016/05/24 18:42   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Plotting Weibull distribution for various parameters to see what shapes it can take.
[5]  2015/02/11 01:59   Male / - / An engineer / Very /
Purpose of use
Calculate the potential benefit of a wind turbine improvement technology
[6]  2014/12/23 02:25   Male / 40 years old level / Others / Very /
Purpose of use
Wanted quick way to visualize the effect of changing the shape parameter in the Weibull
[7]  2014/05/11 01:09   Male / 50 years old level / Others / A little /
Purpose of use
Study for home wind project
[8]  2014/04/23 00:45   Male / 60 years old level or over / An engineer / Very /
Purpose of use
Estimate failure rate or product
[9]  2013/04/22 06:22   Male / 20 years old level / Others / Very /
Purpose of use
study
Comment/Request
important
[10]  2012/12/06 19:03   Male / 20 years old level / A teacher / A researcher / Very /
Purpose of use
Simulation research
Comment/Request
Great. Thanks

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