With the imminent arrival of nice weather on campus, you've decided that you should probably evaluate the effect that sunny weather, your Quidditch habit, and your homework habits will have on your relaxation. Use the standard independence assumptions that we use with Bayesian networks. P(s) 0.4 Sunny (S) P(d | s) 0.5 P(q | s) 0.7 Quidditch Did Home Pid | -5) 0.8 P(a 1 -5) 0.1 (Q) work (D) Relaxed (R) P(r | q, d) 0.99 P(r | q, -d) 0.3 P(r | -q, d) 0.8 P(r | -q, -d) 0.2 1. [2 points] Find P(d). 2. [6 points] Find P(-T). 3. [5 points] Find P(r | s). 4. [7 points] Find P(d | r)