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 120 movies that came out in 2005, also classified by their genre.

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

b) Find the conditional distribution (in percentages) of movie ratings for thriller/horror 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.

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Genre G PG Rating PG PG-13 R Total Action/Adventure 4 5 17 9 35 Comedy 2 12 20 4 38 Drama 0 3 8 17 28 Thriller/Horror 0 0 11 8 19 Total 6 20 56 38 120