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ACT
ACT Math Section

Probability of Scoring Less Than 85

Very Hard Preparing For Higher Math Statistics And Probability

In a study of students' test scores, researchers found that the mean score for a sample of 100 students was 78 with a standard deviation of 10. Assuming that the scores are normally distributed, what is the probability that a randomly selected student scored less than 85?

Use the Z-score formula: $$Z = \f\frac{X - \mu}{\sigma}$$, where $X$ is the score, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Hint

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