Question: Let X be uniformly distributed on [01]. (a) Find the probability density function for Y = 1 X+1 and prove that your result is a

Let X be uniformly distributed on [01].

(a) Find the probability density function for Y = 1 X+1 and prove that your result is a probability density function.

(b) Explain how values of X could be used to sample from the distribution f (x) =

2x, 0 < x < 1.

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