107 students 16 pairs 1983 01d 12 5 10 Kloster, David E 1984 01d 12 5 10 Radez, Rob A 1984 01d 16 5 3 Kim, MinJi _ 1984 01d 16 5 4 Liang, Alvin Y 1981 01d 25 5 2 Bissonnette, Sara D 1983 01d 25 5 7 Wang, Jessie _ # 1984 02d 04 5 4 Cheng, Marjorie _ 1984 02d 04 5 9 Goldin, Donald M 1982 02d 11 5 6 Netolicka, Karolina _ 1984 02d 11 6 0 Sanchez, Rodrigo _ 1983 02d 19 5 6 Rosenkrantz, Jessica E (dropped) 1984 02d 19 6 0 Chevalier, Kevin R 1985 02d 19 5 8 Palakodety, Ravi K 1983 03d 22 5 7 Tse, Chester G 1984 03d 22 5 10 Bisker, Solomon M 1982 04d 04 5 11 Anderson, Brian C 1984 04d 04 6 2 Sherry, Brennan 1984 05d 01 5 10 Bau, Benjamin D 1984 05d 01 5 11 Elliott, Grant A 1982 05d 14 5 7 Meng, Nathan F 1984 05d 14 5 9 Ngo, Tri M 1982 05d 19 5 2 Lin, Hanyin H 1984 05d 19 5 10 Jones, Harvey C 1981 08d 03 5 5 Menchu, Miguel M 1983 08d 03 6 2 Hoover, Thomas M 1982 08d 18 6 1 Rbeiz, Michel A 1984 08d 18 5 8 Hollingsworth, Pamela B 1983 10d 02 5 11 Suarez, Christopher A 1984 10d 02 5 11 Kwan, Matthew H (droped) 1980 10d 26 6 0 Permar, Justin D 1983 10d 26 5 4 Li, Xue_(Shirley) _ 1983 11d 13 5 7 Luger-Guillaume, Rebecca L 1984 11d 13 5 10 Val, Charles C 1980 12d 26 5 11 Polonski, Marek _ 1983 12d 26 5 7 Iyo, Shannon J expected number of matching pairs E[M_109] = C(n,2)/365 = 16.126 (16) Var[M_109]=16*(1-1/365) < 16 Pr{|M_109-16| >= x} < 16/x^2 x=6: probability of 10-22 pairs is > 50% but we had only 3 pairs. so x=13 Pr{|M_109-16| >= 13} < 16/169 so < 10% chance that the number of pairs was 0,1,2,3, or 29 or higher