Question: 4. Let X be a single observation from the Beta(0, 1) pdf, where 0 is an unknown parameter. 1) Let U = -(logX)-. The

4. Let X be a single observation from the Beta(0, 1) pdf,

4. Let X be a single observation from the Beta(0, 1) pdf, where 0 is an unknown parameter. 1) Let U = -(logX)-. The confidence interval for constructed by U is Evaluate the confidence coefficient. 2) Show that U = X is a pivot. 3) Use U to set up a confidence interval having the same confidence coefficient as the interval in part 1)

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