Question: Given the prior is Beta(3.06, 2.56) and the likelihood is binomial distribution. Suppose the two surveys are conducted at the same time and the results

Given the prior is Beta(3.06, 2.56) and the likelihood is binomial distribution.

Suppose the two surveys are conducted at the same time and the results are 20 yes's (12+8) out of 40 responses (20+20). Find the posterior: p~Beta(_, _).

You don't need to compute, just find Beta(_, _).

I'm confused if the likelihood is: (k = # of successes)

k1 = 12, k2 = 8, n = 20
k1 = 12, k2 = 20, n = 20
k = 20, n = 40

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