BYUSINGWINBUGS OR BYHAND Consider x lambda Poissonlambda and

BY_USING_WINBUGS OR BY_HAND

Consider x| lambda ~Poisson(lambda) and lambda ~ gamma(2, 1) where: Find the posterior distribution P(x| lambda) using Winbugs or an explicit mathematical solution, given the following observations x = { 5, 6, 5,10, 3,9,4,4,4,12}, find summary statistics for lambda (mean, median, mode, standard deviation) and compute the 95% credible set for lambda.