Question: Suppose that (x1,..., xn) is a sample from the Bernoulli() distribution, where [0, 1] is unknown. Determine the likelihood function and a minimal sufficient statistic

Suppose that (x1,..., xn) is a sample from the Bernoulli() distribution, where [0, 1] is unknown. Determine the likelihood function and a minimal sufficient statistic for this model. (Hint: Use the factorization theorem and maximize the logarithm of the likelihood function.)

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