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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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.
Miles
4.9114 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
2. Use the z-score formula rearranged for \( X \):
3. Substitute the values into the formula:
4. Calculate:
5. Therefore, the highest score within the bottom 10% is:
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