3. Five students, Ann. Betty. Clint. Douglas, and Edward. are rated equally qualified for ad- mission to law school. ancad of other applicants However, all but two positions have been filled for the entering class Since the admissions cominittee can admit only two more students, it decides to randomly select two of these five candidates. For this strat- egy, let Y = number of females 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) Find the expected value of Y