Assignment 6 - Lesson 5 - Normal Density

Assignment 6 - Lesson 5 - Normal Density - Problem 1....

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Problem 1. BBT-206-7: Using the 68-95-99.7 Rule Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the following quantities. 1. Probability of scores less than 100 = 50 2. Probability of scores less than 120 = 83 % 3. Probability of scores less than 140 = 96.5 % 4. Probability of scores less than 60 = 2.5 % 5. Probability of scores greater than 120 = 15 % 6. Probability of scores between 80 and 120 = 68 % 7. Probability of scores between 80 and 140 = 71.5 % 8. If 100 students are randomly selected, approximately how many students would you expect to test scores greater than 40? = 99.85 % Problem 2. BS3-213-39: SAT Scores (using the density tool) Based on data from the College Board, SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325 Find the percentage of SAT scores greater than 2000 = 6.94 % Find the percentage of SAT scores less than 1500 = 48.01 % Find the percentage of SAT scores between 1600 and 2100 = 36.46 %
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Assignment 6 - Lesson 5 - Normal Density - Problem 1....

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