3) Lou has two coins: one fair coin and one biased coin which lands on heads with probability 3/4. She picks one coin at random (50-50) and flips it repeatedly until she gets a tail. a. Assuming she observes 3 heads before the first tail, complete the table shown below. Assume a uniform prior. (Hint: Let 0 be the probability of the selected coin landing on heads. Given 0, the number of heads observed before the first tail, y, is a Geo(0) random variable.) Hypothesis Prior Likelihood Prior x Posterior Likelihood 0=1/2 0=3/4 Total b. What is the prior predictive probability of heads? c. What is the posterior predictive probability of heads