Normal Distribution, Standard Units #2

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 1 standard deviation 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 3 standard deviations to the right 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 the beginning of the curve to the mean.

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

• From the beginning of the curve to 1 standard deviations to the left 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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CCSS.HSS.ID.A.4

What area under the curve is represented in the figure?

• 95.44%

• 99.72%

• 68.26%

• 100%

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CCSS.HSS.ID.A.4

What area under the curve is represented in the figure?

• 50%

• 47.72%

• 15.73%

• 15.87%

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CCSS.HSS.ID.A.4

At Dickinson College, freshmen scored on their first calculus exam 10 points in average; with a standard deviation of 3 points. What percentage of students scores between 1 and 7? (Write only the number of the percentage, with 2 decimals without percentage symbol).

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CCSS.HSS.ID.A.4

Birth weights of babies in the United States can be modeled by a normal distribution with mean 3250 grams and standard deviation 500 grams. What percentage of babies weight more than 2750 grams? (Write only the number of the percentage, with 2 decimals without percentage symbol).

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CCSS.HSS.ID.A.4

Suppose the average height of women collegiate volleyball players is 69", with a standard deviation of 2". What percentage of volleyball players are between 65" and 75"?(Write only the number of the percentage, with 2 decimals without percentage symbol).

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CCSS.HSS.ID.A.4

The distribution of the duration in day of human pregnancies is approximately normal with mean = 270 and standard deviation 15. What percentage of woman who will have a duration of pregnancy between 240 and 300 days?(Write only the number of the percentage, with 2 decimals without percentage symbol).

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CCSS.HSS.ID.A.4