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Outline the algorithm that generates...

Outline the algorithm that generates a random variable having a density function

f(x) = (x−2)/2 , if 2 ≤ x ≤ 3

￼ (2−x/3)/2 , if3<x≤6

using the following two methods: a. the inverse transform method;

b. the rejection method.

f(x) = (x−2)/2 , if 2 ≤ x ≤ 3

￼ (2−x/3)/2 , if3<x≤6

using the following two methods: a. the inverse transform method;

b. the rejection method.

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