Moviegoers and ethnicity. The Motion Picture Association of America studies the ethnicity of moviegoers to understand changes in the demographics of moviegoers over time. Here are the numbers of moviegoers (in millions) classified as to whether they were Hispanic, African-American, or Caucasian for the years 2002 to 2006.

a) Find the marginal distribution Ethnicity of moviegoers.

b) Find the conditional distribution of Ethnicity for the year 2006.

c) Compare the conditional distribution of Ethnicity for all 5 years with a segmented bar graph.

d) Write a brief description of the association between Year and Ethnicity among these respondents.

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Ethnicity Year 2002 2003 2004 2005 2006 Total Hispanic 21 23 25 25 26 120 African- American 21 20 22 21 20 104 Caucasian 118 127 127 113 120 605 Total 160 170 174 159 166 829