ratio of normal distributions

1. Haunted by Cauchy – A medium level problem

Hi Let's suppose X1 and X2 are two Normally distributed variables. [In general, X1 is from N(m1,s1^2) and X2 from N(m2, s2^2) where m1<m2 and s1^2≠s2^2.] However, let’s say, for the sake of starting the discussion, that both are Normally distributed N(1,2^2) and N(2,3^2). One of X1 or X2 is...