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Mathematics, 10.03.2020 07:06 fantasticratz2

Children's Fitness is assessed by finding the distance X, in meters, that they can run in 6 minutes. Overall, this distance varies fairly normally, with mean 835 and standard deviation 111.

A. Let X1 be the distance run in 6 minutes by one randomly chosen child, and X2 the distance run by another randomly chosen child. Find μx1-x2, the mean of the difference in the distances run.
B. Find σx1-x2, the standard deviation of the differences in distances run.
C. Estimate the probability that one student out-distances the other by more than 314 meters. Remember that this can happen if the first distance is at least 314 meters greater or if it is at least 314 meters less.

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