Question: (Generate Random Numbers for a Distribution). A Cauchy-distributed random variable has the density function f(x)=cc2+x21 Show that its distribution function F and its inverse F1

(Generate Random Numbers for a Distribution). A Cauchy-distributed random variable has

(Generate Random Numbers for a Distribution). A Cauchy-distributed random variable has the density function f(x)=cc2+x21 Show that its distribution function F and its inverse F1 are F(x)=1arctan(cx)+21,Fc1(y)=ctan((y21)). Write a Matlab Code to generate Cauchy-distributed random numbers out of random numbers for a uniform distribution

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