Consider, again, the scenario described in Example 5.8.2-a binomial random variable X has parameters n and , where the latter has a beta prior with

Consider, again, the scenario described in Example 5.8.2-a binomial random variable X has parameters n and θ, where the latter has a beta prior with integer parameters r and s. Integrate the joint pdf p_X(k | θ) f_Θ(θ) with respect to θ to show that the marginal pdf of X is given by

rts-I