1. Ratio distribution (uniform)

I saw a ratio
$\displaystyle X_t/Y_t$follows a i.i.d. uniform distribution, where
Y_t is a normal distribution, X_t 's distribution is not specified.
I just take a guess that X_t might be normally distributed as well, but I wonder, is it possible that the ratio of two normally distributed variables to be uniformly distributed?

Thanks a lot

2. Originally Posted by delhaize
I saw a ratio
$\displaystyle X_t/Y_t$follows a i.i.d. uniform distribution, where
Y_t is a normal distribution, X_t 's distribution is not specified.
I just take a guess that X_t might be normally distributed as well, but I wonder, is it possible that the ratio of two normally distributed variables to be uniformly distributed?

Thanks a lot
In general: $\displaystyle \frac{N(\mu, \sigma^2)}{N(\mu,{\sigma}^2)} = \text{Cauchy-Dist}$

Unless your talking about standard normal: $\displaystyle \frac{N(0,1)}{N(0,1)} = U(0,1)$