Hello everyone

if X and Y are independent, positive-valued random variable which are following normal distribution and let Z be their quotient Z=X/Y,

then i want to approximate Z to normal random variable.

When I calculated the mean and standard deviation of Z using MATLAB, the mean of Z is similar to (mean of X)/(mean of Y). however i couldn`t find any relationship between the standard deviation of Z, X and Y.

how can i approximate Z to normal random variable?

thanks!