SOLUTION: Question One: Scores on a test are normally distributed with a mean of 541 and a standard deviation of 120. Use the 68-95-99.7 Rule to find the percentage of people taking the tes

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Question One: Scores on a test are normally distributed with a mean of 541 and a standard deviation of 120. Use the 68-95-99.7 Rule to find the percentage of people taking the tes      Log On

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Question 605985: Question One:
Scores on a test are normally distributed with a mean of 541 and a standard deviation of 120. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score below 181.
Answer by stanbon(57219) About Me  (Show Source):
You can put this solution on YOUR website!
Scores on a test are normally distributed with a mean of 541 and a standard deviation of 120. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score below 181.
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Find the number of standard deviations 181 is to the left of the mean:
(541-181)/120 = 3
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Draw a normal curve.
According to the "Rule" only 0.3% of the people are
outside the 99.7% limits.
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Only 0.3%2 = 0.15% or 0.0015 of the people are below 181.
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Cheers,
Stan H.