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. ..., Xy be the results of N flips of the coin. . What is the joint distribution or density function for p and $1, 12, 13, . ... IN? . What is the conditional density for p, given the results of the flips 21, 12, ..., IN? Given that you have observed A heads in a row, what is the probability that the next flip is heads