Problem 3: Coin Flip Suppose you have a coin that gives heads with probability p, and tails with probability 1 - p. . If you don't know what p is, what is the natural prior distribution to assume for p? Let X1, X2, X3, ..., XN be the results of N flips of the coin. . What is the joint distribution or density function for p and x1, X2, 23, ..., ON? . What is the conditional density for p, given the results of the flips x1, X2, ..., N? Given that you have observed N heads in a row, what is the probability that the next flip is heads