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Let be a uniform random variable on [0, 1]. Let = 1/. a) Sketch a picture of transformation = 1/. Is the transformation monotone and

Let be a uniform random variable on [0, 1]. Let = 1/.

a) Sketch a picture of transformation = 1/. Is the transformation monotone and one-to-one?

b) Determine the CDF of . Specify the possible values of .

c) Using the Inverse CDF Method give a formula that can be used to simulate values of ?

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