Normal Distribution, Standard Units #3

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%

What area under the curve is represented in the figure?

• 95.44%

• 99.72%

• 68.26%

• 100%

What area under the curve is represented in the figure?

• 50%

• 47.72%

• 15.73%

• 15.87%

You are creating a tree house and have made the doorway into the structure 74 inches tall. Suppose the average height of adult males is 68 inches with a standard deviation of 3 inches. What percentage of people will have to bend their heads to get into the house? (Write only the number of the percentage, with 2 decimals without percentage symbol).

The tail lengths of a certain animal are normally distributed with a mean length of 18 inches and a standard deviation of 3 inches. What percentage of these animals have a tail that between 12 and 24 inches long?. (Write only the number of the percentage, with 2 decimals without percentage symbol).

The scores of a Biology test were distributed with a mean of 70 points with a standard deviation of 4. What percentage of students scored between 58 and 2 points? (Write only the number of the percentage, with 2 decimals without percentage symbol).

A particular medical procedure costs, in average, $29000; with a standard deviation of $3,400. What percentage of patients will pay between $22200 and $32400? (Write only the number of the percentage, with 2 decimals without percentage symbol).