Question: Let Y have a binomial distribution in which n = 20 and p = . The prior probabilities on are P( = 0.3) =

Let Y have a binomial distribution in which n = 20 and p = θ. The prior probabilities on θ are P(θ = 0.3) = 2/3 and P(θ = 0.5) = 1/3. If y = 9, what are the posterior probabilities for θ = 0.3 and θ = 0.5?

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