A coin has probability P of being heads, where P itself is a Uniform(0,1) random variable. The coin is flipped twice. Gi

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A coin has probability P of being heads, where P itself is a Uniform(0,1) random variable. The coin is flipped twice. Gi

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A Coin Has Probability P Of Being Heads Where P Itself Is A Uniform 0 1 Random Variable The Coin Is Flipped Twice Gi 1
A Coin Has Probability P Of Being Heads Where P Itself Is A Uniform 0 1 Random Variable The Coin Is Flipped Twice Gi 1 (50.11 KiB) Viewed 94 times
A coin has probability P of being heads, where P itself is a Uniform(0,1) random variable. The coin is flipped twice. Given that it comes out heads both times, what is the (posterior) (a) PDF of P? (b) expected value of P? (c) probability that the next two flips are both heads?
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