Question: Let X be a random variable with the probability density function Using the method of transformations, find the probability density function of Y = X.

Let X be a random variable with the probability density function

2e-2x fx(x) = if x > 0 0 otherwise.

Using the method of transformations, find the probability density function of Y = √X.

2e-2x fx(x) = if x > 0 0 otherwise.

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