You're given a biased coin that has probability of seeing a head. To estimate the coin's bias, you did 20 coin flips and observed 13 heads and 7 tails. Now, you have a dataset of observations D = {x_0,x_1,...,x_n}, each is either 0,1. where 1 indicates that you observed a head in this flip. Assume you have a prior knowledge that there's 70% chance of = 0.7, 20% chance = 0.5, and 10% chance = 0.2. What's () ? What's (=0.7|)