1.27 Suppose that P(T = tj) = j, j = 1,.... Show that E(mid P-value) = 0.50....

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1.27 Suppose that P(T = tj) = πj, j = 1,.... Show that E(mid P-value) = 0.50.

[Hint: Show that Σ; π;(π;/2 + πj+1 +۰۰۰) = (Σ; π;)²/2.]

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