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The miaa05 data set contains statistics on each of the 134 players in the MIAA 2005 Men's Basketball season. How well does a beta distribution fit these players' free throw shooting percentage?

a) Use the method of moments to estimate the two parameters of the beta distribution.

b) Use a quantile-quantile plot to assess the goodness of fit.

c) Are there any players you should remove from the data before performing this analogy? Decide on an elimination rule, apply it, and repeat the analysis. Do you like the results better?

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