In the so-called negative binomial experiment we continue a Bernoulli trial with parameter until we obtain s successes, where x is fixed in advance. We assume that s is known. Let r be the number of trials needed The pdf is then Assume that we observe the following observations where s 1 23, 14, 24, 17,4, 40, 17,13, 31,24 5. In Bayesian methods, we can calculate the posterior distributions using only numerical integration methods. Use the integrate function in R to find the EAP estimate of 0. Use a beta distribution for the prior with parameters --1. In the so-called negative binomial experiment we continue a Bernoulli trial with parameter until we obtain s successes, where x is fixed in advance. We assume that s is known. Let r be the number of trials needed The pdf is then Assume that we observe the following observations where s 1 23, 14, 24, 17,4, 40, 17,13, 31,24 5. In Bayesian methods, we can calculate the posterior distributions using only numerical integration methods. Use the integrate function in R to find the EAP estimate of 0. Use a beta distribution for the prior with parameters --1