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MAXImum [283]
2 years ago
5

When Tariq goes bowling, his scores are normally distributed with a mean of 110 and a standard deviation of 10. Using the empiri

cal rule, what percentage of the games that Tariq bowls does he score between 80 and 140
Mathematics
1 answer:
juin [17]2 years ago
5 0

Using the Empirical Rule, it is found that Tariq scores between 80 and 140 in 99.7% of the games that he bowls.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are <em>within 3</em> standard deviations of the mean.

In this problem, considering the mean of 110 and the standard deviation of 10, scores between 80 and 140 are within 3 standard deviations of the mean, hence Tariq scores between 80 and 140 in 99.7% of the games that he bowls.

More can be learned about the Empirical Rule at brainly.com/question/24537145

#SPJ1

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