Question 2. First, go to Wolfram Alpha and try typing the following things into the box at the top (and then hit Enter or click the "=" sign). - BinomialDistribution[10, 0.5] - BinomialDistribution[100,0.5] Fun, huh? Ok, now try it with the Beta distribution: - BetaDistribution[1,1] - BetaDistribution[2,2] - BetaDistribution[10,10] - BetaDistribution[2,10] - BetaDistribution[10,2] Note that in Wolfram Alpha, BetaDistribution[ ,] means the same beta distribution you'll see written elsewhere as Beta(,). Also note that this beta distribution should not be confused with the beta function written as B(,) ! - (a) Look at the PDFs (probability density functions) for each one, and explain in plain English what each of these Beta distributions represents, when interpreted as a Bayesian prior for the probability of heads. (To keep things standard, let's all assume that the prior belief is about the probability of heads for a file:///Users/shabnamtafreshi/Downloads/assignment0.html 1/3