The following table summarizes the full$-$time enrollment at a community college located in a West Coast city. There are a total of $12,000$ full$-$time students enrolled at the college. The two categorical variables here are gender and program. The programs include academic and vocational programs at the college. Assume that a student can enroll in only one program.

Gender vs College Program

$\backslash$table$[[,\backslash$table$[[$Arts$-],[$Sci$]],\backslash$table$[[$Bus$-],[$Econ$]],\backslash$table$[[$Info$],[$Tech$]],\backslash$table$[[$Health$],[$Science$]],\backslash$table$[[$Graphics$],[$Design$]],\backslash$table$[[$Culinary$],[$Arts$]],\backslash$table$[[$Row$],[$Totals$]]],[$Female$,4,660,435,494,421,105,83,6,198],[$Male$,4,334,490,564,223,97,94,5,802],[\backslash$table$[[$Column$],[$Totals$]],8,994,925,1,058,644,202,177,12,000]]$

Use the table above to answer the following questions.