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Random variables X and Y are independant and distributed normally so that $ X \sim N(0,2) $ and $ Y \sim N(0,2)$. If a new random variable Z is defined as $ Z = {X \over Y}$, find $ f_z(z) $ and $ F_Z (z)$.

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  • $\begingroup$ 56 minutes. $ $ $\endgroup$
    – Did
    Commented Dec 15, 2012 at 8:54

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The answer is at this link

http://en.wikipedia.org/wiki/Ratio_distribution#Gaussian_ratio_distribution

The derivation is found here

http://en.wikipedia.org/wiki/Ratio_distribution#Derivation

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