2 a) In a Bayesian statistical framework, considering the event of tossing a coin. The probability of getting a head is 0.5 with a prior belief of 0.9 and 0.6 with a prior belief of 0.1. Find the posterior distributions for p=0.5 and p=0.6 given that you get 5 consecutive heads. b) In a Bayesian statistical framework, given a coin with an unknown probability of landing heads p, you initially believe (prior) that p follows a Beta(2, 2) distribution. Find the posterior distribution after observing 10 consecutive tails. (Hint: The functional form of Beta distribution is, (, ) = 1.(1 )1. You can also consider )