Find out the posterior density of theta


Assume you toss the coin and put Uniform[0.4, 0.6] prior on theta, the probability of getting head on a single toss. If you toss the coin n times as well as obtain n heads, then Find out the posterior density of theta.

Suppose now the true value of theta is, in fact, 0.99. Will the posterior distribution of theta ever put any probability mass around theta= 0.99 for any sample of n?

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Basic Statistics: Find out the posterior density of theta
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