Final answer:
To compare the four classes on their views of a tuition increase, the conditional distribution of opinion given year in school should be computed. It will help in analyzing the opinion distribution within each class year.
Step-by-step explanation:
To compare the four classes concerning their opinions regarding the proposed tuition increase, we should calculate the conditional distribution of opinions given year in school. This will show us the distribution of opinions within each year, enabling a comparison across the different class years.
A joint distribution would show the combination of year and opinion but does not compare across years. The marginal distribution of opinion would give the overall opinion without breaking it down by year. The conditional distribution of years in school given opinion would tell us the distribution of class years within a specific opinion, which is not what we want in this case.
The conditional distribution of opinions given year in school allows us to isolate the opinions for each class year, which is helpful when making comparisons between class years on a specific issue such as tuition increase.