(Solved): 4) Consider the following joint probability distribution over two events. Answer the following que ...

4) Consider the following joint probability distribution over two events. Answer the following questions based on this table. a) What is the probability of Right occurring, \( P(R) \) ? b) What is the probability of either Bottom or Left occurring, \( \mathrm{P}(\mathrm{B} v \mathrm{~L}) \) ? c) What is the probability Middle and either Center or Right occurring, \( P\left(M^{\wedge}(C \vee R)\right) \) ? d) What is the probability of Center given Left, \( P(C \mid L) \) ? e) What is the probability of Right or Left given Not Bottom, \( (\mathrm{R} v \mathrm{~L} \mid \) Not \( B) \)