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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 Haskinsâ€™ 2017 statistics to inform their prior, thus they use a Beta distribution with \(\alpha = 40\) and \(\beta = 17\).**Student C**is a**X**ichigan fan, and has a strong belief that Haskins has a completion percentage of 50%, thus uses a Beta distribution with \(\alpha = 200\) and \(\beta = 200\).