Five students—the females Angeline and Belle and the males Charlie,David, and Edmund—are rated equally qualified for admission to medical school, ahead of other applicants. However, all but two positions have been filled for entering the class. The admissions committee can admit only two more students, so it decides to randomly select two of these five candidates. For this strategy, let y =

number of males admitted. Using the first letter of the name to denote a student, the different combinations that could be admitted are (A, B), (A, C), (A, D), (A, E), (B, C), (B, D), (B, E), (C,D), (C, E), and (D, E).

(a) Construct the probability distribution for y.

(b) Construct the sampling distribution of the sample proportion of the students selected who are male.