Movie ratings. The movie ratings system is a voluntary system operated jointly by the Motion Picture Association of America (MPAA) and the National Association of Theatre Owners (NATO). The ratings themselves are given by a board of parents who are members of the Classification and Ratings Administration (CARA). The board was created in response to outcries from parents in the 1960s for some kind of regulation of film content, and the first ratings were introduced in 1968. Here is information on the ratings of 340 movies that came out in 2016, also classified by their genre. (Data extracted from Movies 06-15)

R or NC-17 PG-13 PG G Total Action 15 18 1 0 34 Comedy 59 26 8 1 94 Drama 86 61 15 0 162 Thriller/Suspense 36 14 0 0 50 Total 196 119 24 1 340

a) Find the conditional distribution (in percentages) of movie ratings for action films.

b) Find the conditional distribution (in percentages) of movie ratings for PG-13 films.

c) Create a graph comparing the ratings for the four genres.

d) Are Genre and Rating independent? Write a brief summary of what these data show about movie ratings and the relationship to the genre of the film.