Draw a schematic representation of a perceptron with three $(3)$ inputs, a bias unit and one

output. All weights are initialized to $0\mathrm{.}4.$ Calculate the output of the perceptron if the three inputs are

$1,1,0,$ respectively. The correct output should have been $1.$ Based on this fact, calculate the change

in weights for all weights in the perceptron with a learning rate $()$ of $0\mathrm{.}2.$ CLEARLY label all of your

calculations.

$2.(6$ points$)$ Suppose you have now hopped employment from the appliance company to Twitter! You

are tasked with classifying twitter members into three categories: Little$-$Known, Popular, and Famous.

You do this based on the number of twitter followers each member has. Define each of these as a

fuzzy set and specify a membership function for each. You can design this however you$$d like!