Understanding Normal Distribution in Rainfall

The video tutorial explains how to calculate the probability of annual rainfall in a region using a normal distribution. It covers three scenarios: rainfall less than 44 inches, more than 39 inches, and between 38 and 43 inches. The tutorial demonstrates using an online calculator to find these probabilities and convert them into percentages.

What is the mean annual rainfall in the given region?

• 44 inches

• 38 inches

• 39 inches

• 42.2 inches

What is the standard deviation of the annual rainfall in the region?

• 3.9 inches

• 5.4 inches

• 4.2 inches

• 6.3 inches

Which tool is used to calculate the probability of rainfall being less than 44 inches?

• Spreadsheet software

• Graphing calculator

• Online normal distribution calculator

• Statistical software

What is the probability of having less than 44 inches of rainfall?

• 0.500

• 0.341

• 0.723

• 0.631

What percentage of years will have more than 39 inches of rainfall?

• 72.3%

• 63.1%

• 34.1%

• 50.0%

Which option should be selected in the calculator to find the probability of rainfall more than 39 inches?

• Probability that x is equal to

• Probability that x is less than

• Probability that x is not equal to

• Probability that x is greater than

What is the probability of having rainfall between 38 and 43 inches?

• 0.341

• 0.631

• 0.500

• 0.723

Which interval should be entered in the calculator to find the probability of rainfall between 38 and 43 inches?

• 39 and 44

• 38 and 43

• 40 and 45

• 37 and 42

What does the shaded area under the normal distribution curve represent?

• Average rainfall

• Probability or percent of years

• Standard deviation

• Total rainfall

How is the probability converted to a percentage?

• Divide by 100

• Subtract 100

• Add 100

• Multiply by 100