Question: Let X, Y be independent, continuous random variables with a symmetric (but possibly different) distribution around 0. Show that Y /X and Y /|X| have

Let X, Y be independent, continuous random variables with a symmetric (but possibly different) distribution around 0. Show that Y /X and Y /|X| have the same distribution. (Hint: Compare the cdf’s of W = X/Y and V = X/|Y |.)

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