Normal Distribution, Standard Units #4

How should we identify the area under the curve in the following figure?

• from 1 standard deviation to the left of the mean to the end of the curve.

• From the mean to the end of the curve.

• from 2 standard deviations to the left of the mean to the 3 standard deviations to the right of the mean.

• from the mean to 3 standard deviations to the right of the mean.

How should we identify the area under the curve in the following figure?

• From the mean to 2 standard deviations to the right.

• From 3 standard deviations to the left of the mean to 1 standard deviation to the left of the mean.

• From the mean to 2 standard deviations to the left.

• From 2 standard deviations to the left of the mean to 2 standard deviations to the right of the mean.

How should we identify the area under the curve in the following figure?

• From 1 standard deviation to the right of the mean, to 2 standard deviations to the right of the mean.

• From the mean to 2 standard deviations to the right of the mean.

• From the mean to 1 standard deviations to the right of the mean.

• From the beginning of the curve to 1 standard deviation to the right of the mean.

What area under the curve is represented in the figure?

• 83.99%

• 84.13%

• 50%

• 97.72%

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What area under the curve is represented in the figure?

• 95.44%

• 99.72%

• 68.26%

• 100%

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What area under the curve is represented in the figure?

• 50%

• 47.72%

• 15.73%

• 15.87%

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The distribution of blood cholesterol levels in 14-year-old boys is roughly normal; the mean is 165 milligrams of cholesterol per deciliter of blood and the standard deviation is 30. What percentage of 14-year-old boys have a cholesterol level between 195 and 225 mg/dL? (Write only the number of the percentage, with 2 decimals without percentage symbol).

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Lifetimes of a certain brand of tires is approximately normally distributed with mean 42,000 miles and standard deviation 3,200 miles. What percentage of tires ride without problems between 38800 and 45200 miles? (Write only the number of the percentage, with 2 decimals without percentage symbol).

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The height of male freshmen entering a large state university are normally distributed with a mean of 68 inches with a standard deviation of 3 inches. What percentage of freshmen are between 59 and 68 inches? (Write only the number of the percentage, with 2 decimals without percentage symbol).

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Scores of SAT are normally distributed with a mean of 1025 and a standard deviation of 200. What percentage of students scored less than 625? (Write only the number of the percentage, with 2 decimals without percentage symbol).

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