Table 20 compares the numbers (in thousands) of students who started college at a 4-year private, a

Question:

Table 20 compares the numbers (in thousands) of students who started college at a 4-year private, a 4-year public, or a 2-year public institution in fall 2007 and their educational status as of spring 2013 (six years later). The category €œCompleted a degree or certificate€ includes students who eventually attended different colleges or earned a different degree than first intended

a. Find the probability that a student randomly selected from the study began studying at a 2-year public institution in fall 2007, given the student was still enrolled at any college during spring 2013.
b. Find the probability that a student randomly selected from the study completed a degree or certificate by spring 2013, given the student began at a 4-year private institution in fall 2007.
c. Find the probability that a student randomly selected from the study completed a degree or certificate by spring 2013, given the student began at a 2-year public institution in fall 20 07.
d. Compare the results you found in parts (b) and (c). What does your comparison mean in this situation?
e. A student says that for students who began college in fall 2007, 2-year public institutions were more effective than 4-year private institutions, because more 2-year public students (342 thousand) completed a degree or certificate by spring 2013 than 4-year private students (325 thousand). What would you tell the student?