3.22 Refer to the table (11, 0/0, 1) analyzed with Bayesian methods in Section 3.6.4.

Using simulation, estimate P(π₁ > π₂|y₁, n₁; y₂, n₂) for independent beta(α₁ α₂)

priors having

(a) α₁ = α₂ = 2,

(b) α₁ = α₂ = 1, and

(c) α₁ = α₂ = 0.50. Interpret.