If you use python please only use numpy and matplotlib

6. (10 points) Consider the categorical learning problem consisting of a data set with two labels: Label 1: (contains 5 data points) Label 2: (contains 6 data points) (1) For each label above, the data follow a multivariate normal distribution Normal (i,) where the covariance is the same for both labels. Fit a pair of LDA functions to the labels by computing the covariances , means i, and proportion of data. You may use Python (with only numpy library) (a) You should report the values for ,i and . (b) Give the formula for the line forming the decision boundary and plot the graph. (Write done the formula used in your calculation.) (2) Find the probability P(y=1x) for a test point x=[00] for the LDA model. (3) (Bonus Question) Find the quadratic boundary using the QDA method and plot the graph. (You can use Sympy lib to simplify the formula.)