Question: 6. Consider a standard uniform random variable (i.e., X ~ U(0,1)) , and find a trans- formation C =g(X) such that Y would have the

6. Consider a standard uniform random variable (i.e., X ~ U(0,1))

6. Consider a standard uniform random variable (i.e., X ~ U(0,1)) , and find a trans- formation C =g(X) such that Y would have the following distribution: a. Y ~U(-1,1) b. Y ~ N(0,1) c. Y ~ Exponential with fy(y)=e-yu(y)

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