Question: Consider generating a random variable having distribution function F(x) =1/2(x+x^2), 0

Consider generating a random variable having distribution function

F(x) =1/2(x+x^2), 0

(a) Write the inverse transform method.

(b) Write the acceptance-rejection method, with a proposal density Unif [0, 1].

(c) Which methods in part (a) or (b) do you prefer? Explain your answer.

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