Normal Distribution Probability Problems

The video tutorial explains how to calculate areas under a normal distribution curve using a mean of 20 and a standard deviation of 4. It covers finding probabilities for values less than 19 and 13, greater than 17 and 22, and between 13 and 26 using an online calculator. Each section demonstrates how to input values and interpret results, emphasizing rounding to three decimal places.

What is the mean of the normal distribution discussed in the video?

• 15

• 30

• 20

• 25

What is the standard deviation of the normal distribution in the video?

• 6

• 2

• 8

• 4

What is the probability that a value is less than 19 in the given normal distribution?

• 0.501

• 0.301

• 0.401

• 0.601

Which tool is used to calculate the probability of a value being less than 19?

• Statistical software

• Scientific calculator

• Normal distribution calculator

• Graphing calculator

What is the probability that a value is less than 13 in the given normal distribution?

• 0.040

• 0.340

• 0.140

• 0.240

What is the probability that a value is greater than 17 in the given normal distribution?

• 0.773

• 0.673

• 0.873

• 0.573

What is the probability that a value is greater than 22 in the given normal distribution?

• 0.509

• 0.409

• 0.309

• 0.209

What is the probability that a value is between 13 and 26 in the given normal distribution?

• 0.693

• 0.793

• 0.893

• 0.993

Which option is selected in the calculator to find the area between two values?

• Second option

• First option

• Fourth option

• Third option

What is the color used to show the desired area between 13 and 26 on the graph?

• Blue

• Green

• Red

• Yellow