'randomly-transmitted' originates from the combination of 'randomly' and 'transmitted'. 'Randomly' comes from 'random', which has roots in Old French 'randir', meaning 'to gallop', and 'transmitted' comes from Latin 'transmittere', where 'trans-' meant 'across' and 'mittere' meant 'to send'.

'Randomly-transmitted' combines the adverb 'randomly' with the past participle 'transmitted', forming a modern English adjective.

Initially, 'transmitted' meant 'sent across', but in combination with 'randomly', it evolved to describe something spread without a specific pattern.