For this assignment we will be interested in $$\theta$$, the pass completion percentage of Dwayne Haskins, the starting quarterback of The Ohio State Buckeyes.
At the beginning of the 2018 season three college students state their prior belief about $$\theta$$.
• Student A, a student from UIUC, knows literally nothing about football and uses a very uninformative prior, a Beta distribution with $$\alpha = 1$$ and $$\beta = 1$$.
• Student B is a clever OSU fan and decides to use Haskins’ 2017 statistics to inform their prior, thus they use a Beta distribution with $$\alpha = 40$$ and $$\beta = 17$$.
• Student C is a Xichigan fan, and has a strong belief that Haskins has a completion percentage of 50%, thus uses a Beta distribution with $$\alpha = 200$$ and $$\beta = 200$$.