Z-Scores and Area Under Curve

The video tutorial explains how to find the area of shaded regions under a standard normal distribution curve using z-score tables and calculators. It covers three examples: calculating left tail probability, right tail probability using symmetry, and the area between two z-scores. The tutorial demonstrates using both a z-score table and a calculator for each example, providing a comprehensive understanding of these concepts.

What is the mean and standard deviation of the standard normal distribution used in the examples?

• Mean 0, Standard Deviation 0

• Mean 1, Standard Deviation 1

• Mean 0, Standard Deviation 1

• Mean 1, Standard Deviation 0

In the first example, what is the z-score for which we find the area under the curve?

• 1.28

• 0.44

• -0.84

• 1.04

What is the probability of the area to the left of a z-score of 0.44?

• 0.50

• 0.33

• 0.67

• 0.85

What is the area to the right of a z-score of 0.44?

• 0.33

• 0.67

• 0.50

• 0.85

What is the area to the left of a z-score of 0.44?

• 0.33

• 0.67

• 0.85

• 0.50

Which function on a calculator is used to find the area under the normal curve?

• binomcdf

• normalpdf

• normalcdf

• invNorm

What is the first step in using a calculator to find the area under the normal curve?

• Pressing the 'mode' button

• Accessing the 'normalcdf' function

• Entering the mean and standard deviation

• Calculating the z-score

In the second example, what is the z-score for which we find the area greater than it?

• -0.84

• 1.28

• -1.04

• 0.44

What is the probability of the area to the right of a z-score of -1.04?

• 0.1492

• 0.6992

• 0.8508

• 0.2005

What is the area to the right of a z-score of 1.04?

• 0.6992

• 0.1492

• 0.2005

• 0.8508