Related to 'random,' an adverb used by undergraduate English students to indicate that a verb happens for no particular reason or according to no particular pattern. The people engaged in the 'random' activity ('randomly running') may have no idea that they are running, _or_ they may not have considered the consequences of their act.
Your
overworked graduate student TAs beg you to use a more INTERESTING AND EXPRESSIVE word than 'randomly.' Please. For the love of Pete, Dale, or Homer...