The mean of n 0s and 1s has support {0, 1/n, 2/n, ..., n/n}, not [0,1]. >The beta dist is conjugate to the binomial, it is a natural prior for the proportion p

The mean of n 0s and 1s has support {0, 1/n, 2/n, ..., n/n}, not [0,1]. >The beta dist is conjugate to the binomial, it is a natural prior for the proportion parameter. I don't think the author is doing Bayesian inference.