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  3. 2 let x1 and x2 be the numbers showing when...

Question: 2 let x1 and x2 be the numbers showing when...

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2. Let X1 and X2 be the numbers showing when two fair dice are thrown. Define new random variables X = Xi-X2 and Y = X1 + X2. Show that X and Y are uncorrelated but not independent. Hint: To show lack of independence, it is enough to show that PlX = j, Y = k]メPIX = j] . PY = k] for one pair (j, k); try the pair (0.2).]
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