2. Researchers looking at the relationship between the type of college attended (public or private) and achievement gather the following data on 3265 people who graduated from college in the same year
The variable management level" describes their job description 20 years after graduating from college,
Type of College
Public
Private
High
1173
107
Management level Medium
962
794
Low
1732
593
(a) Calculate the marginal distribution of management level in percent
(b) Find the conditional distribution of management level for each college type, in percents
(c) Sketch a segmented bar graph for the two conditional distributions in (b)
(d) Write a brief description of what the information in (b) and (c) tells you about the relationship
between these variables