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a set of final grades for an introduction to statistics course is normally distributed with a mean of 75 and a deviation o

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A set of final grades for an Introduction to Statistics course is normally distributed with a mean of 75 and a deviation of 6. With a 10% probability that the student takes the exam, what is the highest score within this percentage? Write your answer using 2 decimal places.

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Answer to a math question A set of final grades for an Introduction to Statistics course is normally distributed with a mean of 75 and a deviation of 6. With a 10% probability that the student takes the exam, what is the highest score within this percentage? Write your answer using 2 decimal places.

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114 Answers

1. Identify known values:

\mu = 75

\sigma = 6

z = -1.28

2. Use the z-score formula rearranged for \( X \):

X = \mu + z \times \sigma

3. Substitute the values into the formula:

X = 75 + (-1.28) \times 6

4. Calculate:

X = 75 - 7.68

X = 67.32

5. Therefore, the highest score within the bottom 10% is:

X = 67.32

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