40 numbers are rounded off to the nearest integer and then summed. If the individual round-off...

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40 numbers are rounded off to the nearest integer and thensummed. If the individual round-off error are uniformly distributedover (−.5,.5) what is the probability that the resultant sumdiffers from the exact sum by more than 2 ?

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Let the error of individual round off be denoted byWiHere If the original numbers are Xi and the numbers    See Answer
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