You want to design a neural network with sigmoid units to predict a persons academic role from his webpage. Possible roles are professor, student, and staff. However, each person can take any number $($from $0$ to all $3)$ of these roles at the same time. Briefly describe: $(1)$ How you would represent the role label of a person in your training data. $[5$ MARKS$](2)$Suggestapossiblethresholdvaluefortheoutputs$.$