Question: Let be a Bernoulli random variable that indicates which one of two hypotheses is true, and let P( = 1) = p. Under the hypothesis

  1. Let be a Bernoulli random variable that indicates which one of two hypotheses is true, and let P( = 1) = p. Under the hypothesis = 0, the random variable X is uniformly distributed over the interval [0, 1]. Under the alternative hypothesis = 1, the PDF of X is given by

Let be a Bernoulli random variable that indicates which one of two

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