Problem 2 (1 point each): The table below summarizes 356 films from 2011 that have been classified into a genre and have a rating. Define the events R = Rating PG and G = Comedy. Rating Genre G | PG PG-13 R Total Action/Adventure 7 20 15 20 62 Comedy 7 20 22 31 80 Documentary 3 8 11 9 31 Drama 0 20 39 57 116 Other 0 6 20 41 67 Total 17 74 107 158 356 a) For a randomly selected film what is P(R n G)? b) For a randomly selected film what is P(R|G)? c) For a randomly selected film what is P(G|R)? d) Are the events R and G independent? Justify your answer using an equation. orts that the mean weight of their eight-month-old heifers