The table below summarizes 272 films from 2011 that have been classified into a genre and have a rating. Define the events R = Rating PG-13 and G = Comedy. Use events R and G and the table below to answer parts(a) - (d). Show your work and summarize your answers in a sentence in the context of the problem. Rating Genre PG PG-13 R Total Action/Adventure 20 15 20 55 Comedy 20 22 31 73 Documentary 8 11 9 28 Drama 20 39 57 116 Total 68 87 117 272 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 with all the numbers filled in