Records from previous vaccination exercises show that the number of farmers presenting cattle at the centre on a particular day is normally distributed with a mean of 72 farmers and a standard deviation of 10 farmers. The vaccination team has the capacity to vaccinate 80 farmers in a day. Before finalising the arrangements for the exercise, the District Veterinary Officer wants to establish the likelihood that the number of farmers arriving on a particular day will exceed the team's capacity. If this probability is greater than 20%, he will request an additional vaccination team.
Task
Using appropriate mathematical methods, analyse the information provided and advise the District Veterinary Officer on the arrangements for the vaccination exercise.