Question: Please answer this probability HW question. Let X ~ N(0, 1) and Y ~ N(0, 1) be independent. In this exercise, we want to investigate

Please answer this probability HW question.

Let X ~ N(0, 1) and Y ~ N(0, 1) be independent. In this exercise, we want to investigate the random variable X/Y. a) Introduce the random variable Z := X/Y. Determine the conditional probability density fzy ( z | Y = y). b) Determine the joint density fzy(z, y) and consequently find fz(z). What type of random variable is Z = X/Y

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