Combining normal random variables
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ome nations require their students to pass an exam before earning thei rimary school degrees or diplomas. A certain nation gives students an xam whose scores are normally distributed with a mean of 41 points an standard deviation of 9 points.
uppose we select 2 of these testers at random, and define the random ariable \( D \) as the difference between their scores. We can assume that heir scores are independent.
Ind the probability that their scores are within 10 points of each other. 'ou may round your answer to two decimal places.
\[
(|D|<10) \approx
\]
\( \square \)
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