Solve the attacehed statistics problems

Anonymous
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.


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