A box contains N1 white balls, N2 black balls, and N3 red balls (N1 + N2 + N3 = N). A

Chapter 5, Problem 5.166

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A box contains N1 white balls, N2 black balls, and N3 red balls (N1 + N2 + N3 = N). A random sample of n balls is selected from the box (without replacement). Let Y1, Y2, and Y3 denote the number of white, black, and red balls, respectively, observed in the sample. Find the correlation coefficient for Y1 and Y2. (Let pi = Ni /N, for i = 1, 2, 3.)

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