Question 4.67

4.67 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.

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  1. 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
  2. Consider randomly selecting a female student from this population. What is the probability that she attends a four-year institution?

4.67

(a)

Outcome Men Women
Four-year institution 0.2684 0.3416
Two-year institution 0.1599 0.2301

(b) 0.5975.