1. Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation

z=-1.16

the bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate "z equals negative 1.16," which is to the left of the curve's center and peak. The area under the curve to the right of the vertical line is shaded.

The area of the shaded region is

(Round to four decimal places asneeded.)

2.Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation

z=0.92

z=1.28

A symmetric bell-shaped curve is plotted over a horizontal scale. Two vertical lines run from the scale to the curve at labeled coordinates "z equals negative 0.92," which is to the left of the curve's center and peak, and "z equals 1.28," which is to the right of the curve's center and peak. The area under the curve between the vertical lines is shaded.

The area of the shaded region is

nothing

.

(Round to four decimal places asneeded.)

3.Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

z

0.2912

0

A symmetric bell-shaped curve is plotted over a horizontal scale with two labeled coordinates. One coordinate is labeled "0" and is located at the center and peak of the curve. The other coordinate is labeled "z," and is to the left of 0. A vertical line extends from the scale to the curve at z. The area under the curve to the left of z is shaded and labeled "0.2912."

The indicated z score is

(Round to two decimal places asneeded.)

4.Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

z

0.7454

0

A symmetric bell-shaped curve is plotted over a horizontal scale with two labeled coordinates. One coordinate is labeled "0" and is located at the center and peak of the curve. The other coordinate is labeled "z," and is to the left of 0. A vertical line extends from the scale to the curve at z. The area under the curve to the right of z is shaded and labeled "0.7454."

The indicated z score is

nothing

.(Round to two decimal places asneeded.)

5.A variable is normally distributed with mean 9 and standard deviation 2.

a. Find the percentage of all possible values of the variable that lie between 8 and 14.

b. Find the percentage of all possible values of the variable that exceed 7.

c. Find the percentage of all possible values of the variable that are less than 5.

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a. The percentage of all possible values of the variable that lie between 8 and 14 is

nothing

%.

(Round to two decimal places asneeded.)