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Q15Section ST (Statistics (Q11–Q65))15 of 65

Conditional mean in a multinomial

Let (X1,X2,X3)(X_1, X_2, X_3) follow the multinomial distribution with the number of trials being 100 and the probability vector (310,110,35)(\frac{3}{10}, \frac{1}{10}, \frac{3}{5}). Then E(X2∣X3=40)E(X_2 | X_3 = 40) equals

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