Answer: vehicle transmission
Step-by-step explanation:
Vehicle transmission is a mode of transmission of infectious agent through substances such as soil, water, air. This process leads to the transmission of the infectious agent to the body of the host.
According to the given situation, the gastrointestinal pathogen will enter into the drinking water from the cattle. The water will be consumed by the family and this will result in the condition of infection. Here, water is the vehicle for the transmission of infection.