Based on the given data, answer the following subquestions: Let X be a discrete random variable taking values {1,3,5} with respective probabilities: {2θ,1−θ,2θ} where 0≤θ≤1 is an unknown parameter. Consider the samples {1,1,5,3,5,3,3,1,1,5} from X. Assume the prior distribution of θ to be Beta(5,6).
