Generate a Weibull random variate using the Inversion method $($Also called inverse$-$transform technique$)$

Consider $=2,=4.$

The CDF is:

$F(x)=1-e^{-(\frac{x}{}{)}^{}}$

For $x0$

a$)$ Implement the method in Python.

b$)$ Generate $100$ random variates

c$)$ Plot a histogram and density curve.