The margin of victory over the point spread (defined as the number of points scored by the

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The margin of victory over the point spread (defined as the number of points scored by the favored team minus the number of points scored by the underdog minus the point spread, which is the difference between the previous two, as predicted by oddsmakers) in National Football League games has been found to be normally distributed with mean 0 and standard deviation 13.861. Suppose New England is favored over Miami by 3 points. What is the probability that New England wins?

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