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...ndependent, then F = (U/m)/ (V/n) has the F distribution with (m, n) degrees of freedom. Choose the values m = 2 and n = 3. Draw a random sample of size 100 from F and compare this with theoretical sample. Summarize the result. 4. I f U,V ~Unif(0; 1) are independent , then Z1 = (sqrt(-2 log U)) cos(2piV ); Z2 =(sqrt(-2 log V)) sin(2piU) are independent standard normal [N(0; 1)] variables. Draw a random sample of size 100 from Z1 and Z2 and compare this with theoretical samples. Summarize the result. Any help would be greatly appreciated as to how to solve these using R code. I am a beginner at R...