eternelle4442 eternelle4442

23-12-2022
Mathematics

Answered

the probability of heads of a coin is , and this bias is itself the realization of a random variable which is uniformly distributed on the interval . to estimate the bias of this coin. we flip it times, and define the (observed) random variable as the number of heads in this experiment. throughout this problem, you may find the following formula useful: for every positive integers , given the observation , calculate the posterior distribution of the bias . that is, find the conditional distribution of , given . for ,

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