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The Weibull distribution has probability density function: f(x)={x1e(x/)0ifx0otherwise. 1. Derive the
cumulative density function (CDF) of the Weilbull distribution (you can use the markdown to write
the solution or scan your answer and insert the image). 2. Develop a python program to generate
samples from this distribution using the inverse transform method. Generate 10000 random
variates and plot the histgram (suppose =1 and =3 ).

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The Weibull distribution has probability density function f.pdf

  • 1. The Weibull distribution has probability density function: f(x)={x1e(x/)0ifx0otherwise. 1. Derive the cumulative density function (CDF) of the Weilbull distribution (you can use the markdown to write the solution or scan your answer and insert the image). 2. Develop a python program to generate samples from this distribution using the inverse transform method. Generate 10000 random variates and plot the histgram (suppose =1 and =3 ).