Consider a single-neuron perceptron with a hard limit transfer function (hardlim). Input Hard Limit Layer a = hardlim(n) RX 1 S X 1 SIR s x 1 S a = hardlim (Wp+b) n = Wp+b The hardlim transfer function is defined as: a = hardlim(n) = 1 if n20 0 otherwise. Using the single-neuron perceptron, solve the three simple classification problems (a), (b), and (c), shown in the figure below: (a) (c) 1. Draw a decision boundary. 2. Find the weight and bias values that result in a single-neuron perceptron with the chosen decision boundaries. Observe the fitting model data to a training data set. 3. How would you find the variance for this problem case? 4. Check your solution (post-training data) against the original points