Sketch a standard normal curve and shade the area that lies to the right of a. 1.02, b. 0.2, c. 0, and d. 4.6. Then determine the area under the standard normal curve that lies in the area of interest for each part.

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a. Sketch a standard normal curve and shade the area under the curve that lies to the right of 1.02.

Choose the correct graph below.

A.

-1.02

0

z

A normal curve centered at 0 is over a horizontal z-axis from negative 3 to 3. A vertical line segment extends from the horizontal axis to the curve at the labeled point negative 1.02. The area under the curve and to the right of the vertical line segment is shaded.

B.

-1.02

0

z

A normal curve centered at 0 is over a horizontal z-axis from negative 3 to 3. Vertical line segments extend from the horizontal axis to the curve at the labeled point negative 1.02 and at 0. The area under the curve and between the vertical line segments is shaded.

C.

1.02

0

z

A normal curve centered at 0 is over a horizontal z-axis from negative 3 to 3. A vertical line segment extends from the horizontal axis to the curve at the labeled point 1.02. The area under the curve and to the right of the vertical line segment is shaded.

D.

-1.02

0

z

A normal curve centered at 0 is over a horizontal z-axis from negative 3 to 3. A vertical line segment extends from the horizontal axis to the curve at the labeled point negative 1.02. The area under the curve and to the left of the vertical line segment is shaded.

The area to the right of 1.02 is

nothing

.

(Round to four decimal places asneeded.)

b. Sketch a standard normal curve and shade the area under the curve that lies to the right of 0.2.

Choose the correct graph below.

A.

-0.2

0

z

A normal curve centered at 0 is over a horizontal z-axis from negative 3 to 3. A vertical line segment extends from the horizontal axis to the curve at the labeled point negative 0.2. The area under the curve and to the left of the vertical line segment is shaded.

B.

0.2

0

z