Determine the value of k so that the function f(x, y) = k|x − y|, for x = −2, 0, 2; y = −2, 3 represents joint probability distribution of the random variables X and Y. Also determine cov(X, Y).
Added by Pooja M.
Step 1
This means that the sum of all probabilities for all possible values of x and y should be equal to 1. The possible values of x are -2, 0, 2 and the possible values of y are -2, 3. So, we calculate the sum of f(x, y) for all these values: Sum = k|(-2) - (-2)| Show more…
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