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In Exercise 7.3.10, explain why the interval you constructed to contain the posterior mean of 1/­…

In Exercise 7.3.10, explain why the interval you constructed to contain the posterior mean of 1/­ (α +1) with virtual certainty may or may not contain the true value of 1/­ (α +1)

Exercise 7.3.10 Generate a sample of n = 10 from a Pareto(2) distribution. Now pretend you only know that you have a sample from a Pareto(α)  distribution, where : 0 is unknown, and place a Gamma(21) prior on :Using a Monte Carlo sample of size N = 104, approximate the posterior expectation of 1­ (α+ 1) based on the observed sample, and assess the accuracy of your approximation by quoting an interval that contains the exact value with virtual certainty.