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In: Statistics and Probability

For the following assume the results of an exam has a mean of 75 and a...

For the following assume the results of an exam has a mean of 75 and a standard deviation of 5.

1. Calculate the percentage of students that score above 75.

2. Calculate the percentage of students that score below 65.

3. Calculate the percentage of students that score above 80.

4. The genius people in the class get a score in the top 1%. Calculate the score of the genius people.

5. Calculate the scores that you need to be between to be in the middle 80%.

6. Calculate the value of μ-2σ and μ+2σ. If a number is above μ+2σ it is considered an unusual value. If a number is below μ-2σ it is also considered an unusual value. These unusual values are also known as statistically significant. Determine if 83, 85, 87, 55, 64, 70, and 74 are statistically significant

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