Gender in the Rock and Roll Hall of Fame From its founding through 2012, the Rock and Roll Hall of Fame has inducted 303303 groups or individuals. Forty-seven of the inductees have been female or have included female members.¹ The full dataset is available in RockandRoll.

What proportion of inductees have been female or have included female members? Round your answer to three decimal places.

c) If we took many samples of size 5050 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? Round your answer for the center to three decimal places.