Question: 14. (10 points) Consider the transformation Y = g(X) = 2 3X, for the random variable X, where the cdf for X is FX (x)

14. (10 points) Consider the transformation Y = g(X) = 2 3X, for the random variable X, where the cdf for X is FX (x) = { 0 , x < 0 1 e4x , x > 0 } Find the cdf for Y . Hint: Make sure that you define the support of the random variable Y .

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