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 () ? Write your answer to 3 significant figures, in one of the following forms. For example if your answer is 0.00123: 0.00123 0.123 x 10^-2 1.23 x 10^-3 0.123E-2 1.23E-3 If the answer is exact to less than 3 significant figures, just enter that. For example if the answer is exactly 0.8, then just enter 0.8 We allow for some error in rounding, etc