Beta Distribution
Beta(0.8, 0.2), Beta(4, 1) and Beta(400, 100) all have mean 0.8000. P(0.7 < p < 0.9) is 0.1512, 0.4160 and 1.0000.
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Posterior
A posterior is a distribution, not just an estimate. Summaries, credible intervals, future predictions, and sequential updates use it in different ways.