From its founding through 2012, the Rock and Roll Hall of Fame has inducted 273 groups or individuals. Forty-one of the inductees have been female or have included female members. The full dataset is available in Rock and Roll.

(a) What proportion of inductees have been female or have included female members? Use the correct notation with your answer.
(b) If we took many samples of size 50 from the population of all inductees and recorded the proportion female or with female members for each sample, what shape do we expect the distribution of sample proportions to have? Where do we expect it to be centered?