4.109 Attendance at two-year and four-year colleges. In a large national population of college students, 61% attend four-year institutions and the rest attend two-year institutions. Males make up 44% of the students in the four-year institutions and 41% of the students in the two-year institutions.
(a) Find the four probabilities for each combination of gender and type of institution in the following table. Be sure that your probabilities sum to 1.
| Men | Women | |
|---|---|---|
| Four-year institution | ||
| Two-year institution |
(b) Consider randomly selecting a female student from this population. What is the probability that she attends a four-year institution?