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Competitive Stats
Q49Section I (Objective (Q1–Q80))49 of 80

Distribution Theory — expectation of a power-law density

Let (X1,X2,X3,…,Xn)(X_1, X_2, X_3, …, X_n) be independently and identically distributed random sample having pdf f(x)=θxθ−1f(x) = \theta x^{\theta - 1}; 0≤x≤10 \le x \le 1, 0<θ<∞0 < \theta < \infty. What is E(X)E(X) equal to?

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