Undergrad students in a section of STAT 225 are classified as lower classmen (Freshman and Sophomores) and upper classmen (Juniors and Seniors). 37% of the students are upper classmen. The students were asked if they graduated from an Indiana high school. 29% of upper classmen graduated from an Indiana high school. 48% of lower classmen did NOT graduate from an Indiana high school.
a) What is the probability that a randomly chosen student graduated from an Indiana high school?
b) Given that the student chosen is a lower classman, what is the probability that he/she graduated from an Indiana high school?
c) Given that the student chosen graduated from an Indiana high school, what is the probability that he/she is an underclassman?