Miss. Code § 37-7-323
Any act which, if committed within the limits of a city, town or village, or in any public place, would be a violation of the general laws of this state, shall be criminal and punishable if done on the campus, grounds or roads of any of the public schools of this state. The peace officers duly appointed by the school board of any school district are vested with the powers and subjected to the duties of a constable for the purpose of preventing all violations of law on school property within the district, and for preserving order and decorum thereon. The peace officers duly appointed by the school board of any school district are also vested with the powers and subjected to the duties of a constable for the purpose of preventing all violations of law that occur within five hundred (500) feet of any property owned by the school district, if reasonably determined to have a possible impact on the safety of students, faculty or staff of the school district while on said property. Provided, however, that nothing in this section shall be interpreted to require action by any such peace officer appointed by a school district to events occurring outside the boundaries of school property, nor shall any such school district or its employees be liable for any failure to act to any event occurring outside the boundaries of property owned by the school district.
Miss. Code § 37-7-323