  Let $p$ be a prime number, $X$ be an absolutely irreducible affine plane
curve over $\mathbb{F}_p$, and $g,f\in\mathbb{F}_p(x,y)$. We study the
distribution of the values of the hybrid exponential sums S_n on
$n\in\mathcal{I}$ for some short interval $\mathcal{I}$. We show that under
some natural conditions the limiting distribution of the projections of the sum
$S_n$, $n\in\mathcal{I}$ on any straight line through the origin is Gaussian as
$p$ tends to infinity.
