Let (Y_{1}) be the number of successes in (n=10) independent trials where each trial results in a

Question:

Let $Y_{1}$ be the number of successes in $n=10$ independent trials where each trial results in a success or failure, and , the probability of success, remains constant over all trials. Suppose the 4 possible values of are $.20, .40, .60$, and .80 . We do not wish to favor any value over the others so we make them equally likely. We observe $Y_{1}=7$. Find the posterior distribution by filling in the simplified table.

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