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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).]](https://homework-api-assets-production.s3.ap-southeast-2.amazonaws.com/uploads/store/941516166/160246568036588e324e2dc6b06105a1a02681fcc8.png)
