# Solve the attacehed statistics problems

*label*Statistics

*timer*Asked: Feb 12th, 2016

**Question description**

10. The ratings of 120 movies that came out in a recent year are given by the accompanying table, also classified by their genre.Complete parts a through d below.

Rating

Genre G PG PG-13 R Total

Total Action/Adventure 2 9 17 9 37

Comedy 3 10 16 6 35

Drama 0 2 11 14 27

Thriller/Horror 0 0 7 14 21

Total 5 21 51 43 120

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

Rating of

Action/Adventure G PG PG-13 R

Percentage ______ _____ _____ _____

(Round to the nearest tenth as needed.)

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

Fill in the conditional distribution table.

Rating of

Thriller/Horror G PG PG-13 R Movie

Percentage ______ _____ _____ _____

(Round to the nearest tenth as needed.)

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

Choose the correct graph below. Let A, C, D, and T stand for action/adventure, comedy, drama, and

thriller/horror, respectively, and red, green, yellow, and blue stand for G, PG, PG-13, and R,

respectively.

d) Are Genre and Rating independent?

A. Yes, although thriller/horror movies have fewer G or PG movies, the percentages of

G or PG movies are not high enough to imply dependence.

B. Yes, proportions of each rating are comparable across all genres.

C. No, drama and thriller/horror movies are mostly PG-13 or R, with nearly half R, while

action/adventures and comedies have fewer R and larger percentages of G or PG.

D. No, action/adventures and comedies are mostly PG-13 or R, with nearly half R, while drama and

thriller/horror movies have fewer R and larger percentages of G or PG.