Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the center of the target. Tory's distances from the center of the target are approximately Normally distributed with a mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is more than for Adam? O 0.3113 0.4923 0.6887 0.7427

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Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the
center of the target. Tory's distances from the center of the target are approximately Normally distributed with a mean
of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally
distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for Adam
are randomly selected, what is the probability that the mean distance from the center of the target for Tory is more than
for Adam?
0.3113
0.4923
0.6887
45
0.7427
Transcribed Image Text:Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon is from the center of the target. Tory's distances from the center of the target are approximately Normally distributed with a mean of 123 mm and a standard deviation of 31 mm. Adam's distances from the center is approximately Normally distributed with a mean of 108 mm and a standard deviation of 47 mm. If 5 attempts for Tory and 3 attempts for Adam are randomly selected, what is the probability that the mean distance from the center of the target for Tory is more than for Adam? 0.3113 0.4923 0.6887 45 0.7427
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