Question: Let be a uniform random variable on (0, 1). Let = , > 0. a) Sketch a picture of the transformation = . Is the

Let be a uniform random variable on (0, 1).

Let = , > 0.

a) Sketch a picture of the transformation = . 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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