2 problems

Let $X^n\subset {\mathbb P}^N$ be a smooth irreducible variety of dimension $n$. Consider a general projection $X\to {\mathbb P}^{N-1}$, and let $X_k\subset {\mathbb P}^{N-1}$ be t…

Let $X\subset {\mathbb P}^N$ be a smooth irreducible variety of dimension $n$. For a general projection of $X$, denote by $X_k$ the locus in the target where the fiber has degree a…