Understanding Normal Distribution and Probability

This lesson demonstrates how to find a data value in a normal distribution corresponding to a given probability using Desmos. It covers calculating test scores with probabilities greater than or less than a specified value, using a mean of 78 and a standard deviation of 9. The video guides through using Desmos to find these values and verify them graphically.

What is the mean score of the class exam mentioned in the lesson?

• 78

• 85

• 9

• 74.5

What is the standard deviation of the scores in the class exam?

• 78

• 9

• 0.8

• 0.2

What is the probability that a student scores higher than the test score 'c'?

• 0.35

• 0.8

• 0.2

• 0.65

Which tool is used to determine the value of 'c' in the lesson?

• Excel

• Desmos

• R

• Python

What is the approximate value of 'c' when the probability of scoring higher is 20%?

• 85.57

• 9

• 74.5

• 78

What is the area to the left of 'c' when the probability of scoring higher is 20%?

• 0.65

• 0.35

• 0.2

• 0.8

What is the probability that a student scores less than the test score 'c' in the second part of the lesson?

• 0.35

• 0.65

• 0.2

• 0.8

What is the approximate value of 'c' when the probability of scoring less is 35%?

• 85.57

• 74.5

• 9

• 78

What is the area to the right of 'c' when the probability of scoring less is 35%?

• 0.65

• 0.8

• 0.2

• 0.35

Which function in Desmos is used to find the value of 'c'?

• Inverse CDF

• Zoom Fit

• Normal Distribution

• Graphing Calculator