According our posterior belief, what is the probability of the next sample belonging to class 1?
  • P(X) = E(X | α, β) because X only takes on values 0 or 1
    = E(E(X | θ) | α, β)
    = E(θ | α, β) by the Bernoulli distribution
    = (n+1) / (n+m+2) by part (c)

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