# Find the probability density function of random variable Z when it is given as a function of X and Y

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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56 minutes.  – Did Dec 15 '12 at 8:54