AREA UNDER NORMAL CURVE

Which of the following is the area under the normal curve?

• 0

• 1

• 2

• 3

Using the Z-TABLE, If the z-score is 0.56, what is the corresponding area?

• 0.2123

• 0.0753

• 0.7123

• 0.5693

Find the area if the value of z = -0.25.

• 0.0987

• 0.1013

• 0.1247

• 0.3720

Find the area of the proportion in the probability notation P(0<z<2)

• 0.4772

• 0.4821

• 0.4938

• 0.5000

Solve for the proportion of the area of the probability notation P(Z>1.5).

• 0.0668

• 0.0736

• 0.0875

• 0.0918

Solve for the proportion of the area of the probability notation P(Z<−1.2).

• 0.1151

• 0.1230

• 0.1314

• 0.1401

The height of adult males in a certain population is normally distributed with a mean of 175 cm and a standard deviation of 8 cm. What is the standard normal score (Z-score) for a male who is 185 cm tall?

• 1.00

• 1.25

• 1.50

• 1.75

The height of students in a school follows a normal distribution with a mean of 160 cm and a standard deviation of 10 cm. If a student has a Z-score of 1.5, what is their height?

• 170 cm

• 175 cm

• 165 cm

• 180 cm

If the mean of a dataset is 200, a particular data point is 250, and the Z-score is 2.5, what is the standard deviation of the dataset?

• 20

• 25

• 15

• 30

Find the probability that the standard normal variable Z is less than −0.75.

• 0.2266

• 0.2734

• 0.4013

• 0.5000