To determine if there is a relationship between grade performance and extracurricular participation, North Carolina state conducted a study of 112 students, recording the number of students in each of three extra-curricular categories, and each of two grade categories.

Here are the results:

  Good grades Poor grades
Low extra-curricular participation 11 2
Moderate extra-curricular participation 68 23
High extra-curricular participation 3

(Source: Felder, et.al., “A Study of Student Performance in an Introductory Chemical EngineeringCourse,” 1992 ASEE Annual Conference Proceedings, pp. 1516–1519.)

What is the expected count of students with high extra-curricular participation and good grades?