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Problem 1.
BBT2067: Using the 689599.7 Rule
Assume that a set of test scores is normally
distributed with a mean of 100 and a standard deviation of 20. Use the 689599.7 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.
BS321339:
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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 Spring '11
 Thaler
 Empirical Rule, Probability, Standard Deviation

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