Understanding Normal Distribution Probabilities

This video tutorial explains how to calculate probabilities for a normal distribution using Desmos. It covers finding the probability of a test score being greater than 80, less than 65, and between 72 and 92, using a dataset with a mean of 72 and a standard deviation of 8.2. The tutorial provides step-by-step instructions on using Desmos to graph the distribution and calculate cumulative probabilities.

What is the mean of the test scores in the given dataset?

• 65

• 72

• 80

• 92

What is the standard deviation of the test scores in the dataset?

• 8.2

• 9.5

• 7.0

• 5.5

Which website is used to calculate the probability of a test score being greater than 80?

• GeoGebra

• Khan Academy

• Desmos

• Wolfram Alpha

What is the probability that a test score is greater than 80?

• 0.500

• 0.493

• 0.197

• 0.165

To find the probability of a score less than 65, what should the maximum value be set to?

• 80

• 65

• 72

• 92

What is the probability that a test score is less than 65?

• 0.197

• 0.500

• 0.165

• 0.493

For finding the probability of a score between 72 and 92, what should the minimum value be set to?

• 65

• 72

• 80

• 92

What is the probability that a test score is between 72 and 92?

• 0.500

• 0.165

• 0.197

• 0.493

What does the shaded area under the curve represent in a normal distribution graph?

• Mean

• Variance

• Standard Deviation

• Probability

What is the purpose of the 'zoom fit' button in Desmos?

• To calculate probabilities

• To change the standard deviation

• To adjust the graph to fit the screen

• To change the mean