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)

1. k1 = 12, k2 = 8, n = 20
2. k1 = 12, k2 = 20, n = 20
3. k = 20, n = 40