1. The problem asks for the probability that the sample contains more than three students who do not live in the dormitories. 2. Let $X$ be the random variable representing the number of students in the sample who do not live in the dormitories. 3. We want to find $P(X > 3)$. 4. To proceed, we need the distribution of $X$ (e.g., binomial, hypergeometric) and parameters such as sample size, total population, and proportion or counts of students not living in dormitories. 5. Since these details are not provided, the problem cannot be solved exactly without additional information. 6. If $X$ follows a binomial distribution with parameters $n$ (sample size) and $p$ (probability a student does not live in dormitories), then: $$P(X > 3) = 1 - P(X \leq 3) = 1 - \sum_{k=0}^3 \binom{n}{k} p^k (1-p)^{n-k}$$ 7. To compute this, substitute known values of $n$ and $p$. Please provide the sample size and the probability or proportion of students not living in dormitories to calculate the exact probability.