Using the normal distribution, it is found that the girl's score of 10 is higher than 99.62% of the population.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
.
Her z-score is given by:
Z = 2.67
Z = 2.67 has a p-value of 0.9962.
Hence her score is higher than 99.62% of the population.
More can be learned about the normal distribution at brainly.com/question/25800303
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