Finding Probability with Normal Distribution Tables

This video tutorial explains how to find probabilities using a standard normal distribution table. It covers the concept of probability as an area under the bell curve, demonstrates how to use the table to find probabilities for Z-scores, and provides examples of calculating probabilities for Z < -1.32, Z > -1.32, and between two Z-scores. The tutorial emphasizes the importance of understanding the table's shading and using complement rules for calculations.

What does a probability in a standard normal distribution represent?

• An area under the curve

• A specific value on the x-axis

• The height of the curve

• The mean of the distribution

What is the total area under a standard normal distribution curve?

• 0

• 100

• 0.5

• 1

Why is it important to pay attention to the diagrams in standard normal distribution tables?

• They indicate the direction of shading

• They list all possible z-scores

• They determine the mean and standard deviation

• They show the exact probabilities

What does a negative z-score indicate in a standard normal distribution?

• Value is to the left of the mean

• Value is to the right of the mean

• Value cannot be determined

• Value is exactly at the mean

What is the probability of Z being less than -1.32?

• 0.5

• 0.0934

• 1.32

• 0.9066

What is the significance of shading to the left in a standard normal distribution table?

• It indicates the mean of the distribution

• It shows the maximum possible probability

• It represents probabilities less than a z-score

• It represents probabilities greater than a z-score

How do you find the probability of Z being greater than -1.32?

• By multiplying the table value by 2

• By using the table value directly

• By adding the table value to 1

• By subtracting the table value from 1

How is the area to the right of a specific z-score found using the standard normal distribution table?

• Area to the right is always 0.5

• Sum of the area to the left and right

• By doubling the area to the left

• 1 minus the area to the left

What is the probability of Z lying between -0.21 and 0.85?

• 0.8023

• 0.6145

• 0.4168

• 0.3855

What does the area between two z-scores represent?

• The average value of Z

• The difference between the highest and lowest z-score

• The sum of the two z-scores

• The probability of Z falling between those values