mean and Standard deviation of ratio of normal variables?

If we have, Z=X / Y,

where X and Y have different means and normally distributed, then

what is the mean and standard deviation of Z?

We know that is a Cauchy Distribution, so Z may be approximately normally distributed. Here is the Journal article discussing the ratio of normal variables:

link to journal article.

My question is, can we find exact distribution of Z ?

[Torsten]

I think it will be better to ask here:

http://mathforum.org/kb/forum.jspa?forumID=231

Answer 1

[Bjorn Gustavsson]

Well, you have the document to read. If that's not good enough there is always:

Ratio-distributions (wikipedia),

Distribution-function of ratio of 2 normal random variables (AIP),

On the ratio of two correlated normal random variables (Biometrica)

Hopefully you find what you're looking for there.