Distribution of Samples of Random Distribution

Question

Assume we have random vector $V$ that contains samples from a normal distribution, i.e., $V = [X_1, X_2, \ldots,X_i, \ldots, X_N]$. We are given the distribution of the vector $V$ as $\mathcal{N}(\mu, \sigma^2)$, what is the distribution of the sample, $X_i$, which is a random variable, assuming that $X_1$ to $X_N$ are independent first???