(20 points) Answer the following questions as follows: 1.1 TRUE or FALSE? and Why? Naive Bayes algorithm assumes the feature independence. 1.2 The functions f and g are both concave functions of a single variable. Neither function is necessarily differentiable. Is the function h defined by h(x) = f(x) +g(x) necessarily concave, necessarily convex, or not necessarily either ? 1.3 Find the angle between these two vectors, u = (6,2), and v = (5, -2). 1.4 Suppose we were interested in determining if there were differences in the average prices among two automobile companies. We randomly pick ten cars to compare at both companies. Which statistical procedure would be best to use for this study and why