For a multinomial (n, i ) distribution, show the correlation between p i and p j is i j (1 i )(1 j ) 1 2 What does this equal when i 1 j and k 0 for k i, j

Question: For a multinomial (n, { i }) distribution, show the correlation between p i and p j is [ i j /(1

For a multinomial (n, {π_i}) distribution, show the correlation between p_i and p_j is –[π_i π_j/(1 – π_i)(1 – π_j)]^1/2. What does this equal when π_i = 1 – π_j and π_k = 0 for k ≠ i, j?

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