Question: Hi, I need help with this problem, please. Thank you! Assume a digital computer with floating decimal point carries k significant figures. Suppose two numbers
Hi, I need help with this problem, please. Thank you!

Assume a digital computer with floating decimal point carries k significant figures. Suppose two numbers , and 142, have been computed and are to be added; furthermore, assume 1=n+x1, 12 =n2 + X2, where m and n2 are the rounded numbers and X1, X2 are the rounding errors. We can take X, and X2 then to be independent uniform (-3, and the rounding error in the sum 1 + 12 is X1 + X2. Find the density function for X1 + X2
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