Ability and discipline. A researcher is interested in the relationship between the discipline selected by a student

(STEM, humanities, or social science) and their technical writing experience (beginner, intermediate, or expert). The data collected for his analysis is recorded in the following table.

Technical Writing Experience Discipline Beginner Intermediate Expert Total Frequency STEM 10 13 35 58 Humanities 47 12 9 68 Social Science 11 18 25 54 Total 68 43 69 180

a) Find the marginal distribution of Discipline Frequency.

b) Find the conditional distribution of Discipline Frequency within each experience group.

c) Compare these distributions with a segmented bar graph.

d) Write a brief description of the association between Technical Writing Experience and Discipline Frequency among these respondents.

e) Does this prove that students who are expert technical writers are more likely to be from the Social Science discipline?
Explain.