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Let X be a single observation from the beta(0, 1) pdf. (a) Let Y = -(log X)-. Evaluate the confidence coefficient of the set [y/2,

Let X be a single observation from the beta(0, 1) pdf. (a) Let Y = -(log X)-. Evaluate the confidence coefficient of the set [y/2, y]. (b) Find a pivotal quantity and use it to set up a confidence interval having the same confidence coefficient as the interval in part (a). (c) Compare the two confidence intervals

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