The following table shows the number of men and women, in thousands, enrolled in degree-granting institutions in the United States in 2010. The men and women are categorized by their age groups.

Age Group Men Women 14 to 17 years old 92 19 18 and 19 years old 1,842 2,276 20 and 21 years old 1,931 2,120 22 to 24 years old 1,666 2,008 25 to 29 years old 1,414 1,783 30 to 34 years old 745 1,078 35 years old and over 1,354 2,587 Based on: National Center for Education Statistics Determine the probability that a randomly selected student

a. Was a female

b. Was 22 to 24 years old

c. Was a woman who was 35 years old or older

d. Was either a women or 25 to 29 years old

e. Was a man, given that the student was 22 to 24 years old

f. Was 30 to 34 years old, given that the student was a man AppendixLO1