Apply the composition method a)Give a sampling algorithm for the distribution with dfF(x) x(1 x 2 x 4) 3,x 0,1 b)Give a sampling algorithm for the distribution with densityf(x) 1 4min 1,1 (x 2) ,x R c)Give a sampling algorithm for the double exponential distribution with parameters R, 0 Apply the composition method a) Give a sampling algorithm for the distribution with df F(x) x(1 22 24) 3, x E 0, 1 b) Give a sampling algorithm for the distribution with density f(x) min 1, 1 x2 , x ER c) Give a sampling algorithm for the double exponential distribution with parameters M ER, o 0

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Question: Apply the composition method. a)Give a sampling algorithm for the distribution with dfF(x) =x(1 +x^2+x^4)/3,x?[0,1]. b)Give a sampling algorithm for the distribution with densityf(x) =1/4min{1,1/(x^2)},x?R.

Apply the composition method.

a)Give a sampling algorithm for the distribution with dfF(x) =x(1 +x^2+x^4)/3,x?[0,1].
b)Give a sampling algorithm for the distribution with densityf(x) =1/4min{1,1/(x^2)},x?R.
c)Give a sampling algorithm for the double exponential distribution with parameters??R,? >0.

Apply the composition method. a) Give a sampling algorithm for the distribution with df F(x) = x(1 + 22 + 24) /3, x E [0, 1]. b) Give a sampling algorithm for the distribution with density f(x) = _ min {1, 1/x2}, x ER. c) Give a sampling algorithm for the double exponential distribution with parameters M ER, o > 0

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