Show that the correlation coefficient p between the numbers, Basic Statistics

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Show that the correlation coefficient p between the numbers

Suppose that n tickets bear arbitrary numbers X₁, X₂,.............,X_n , which are not all the same. Suppose further that 2 of the tickets are selected at random without replacement. Show that the correlation coefficient p between the numbers appearing on the 2 tickets is equal to (-I)/(n - 1).

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Basic Statistics: Show that the correlation coefficient p between the numbers

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Basic Statistics: Show that the correlation coefficient p between the numbers

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