Construct simulation algorithms for the following distributions:

(a) The weib

(a, \(\lambda\) ) distribution, with cdf \(F(x)=1-\mathrm{e}^{-(\lambda x) \alpha}, x \geqslant 0\), where \(\lambda>0\) and \(\alpha>\) 0 .

(b) The Pareto \((\alpha, \lambda)\) distribution, with pdf \(f(x)=\alpha \lambda(1+\lambda x)^{-(\alpha+1)}, x \geqslant 0\), where \(\lambda>0\) and \(\alpha>0\).