Empirical Rule & Normal Distribution Practice

Empirical Rule & Normal Distribution Practice

​

​Please watch this video.

Multiple Choice

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. About what percent of the products last between 12 and 15 days?

• 68%

• 99.7%

• 95%

• 34%

Multiple Choice

The mean GPA of students in a course at UGA is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?

• 81.5%

• 47.5%

• 68%

• 95%

Multiple Choice

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what percent of snow fall amounts will be between 42 and 54?

• 68%

• 46.07%

• 37.19%

• 72.34%

Drag and Drop

​ The monthly income of 5000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250.


Creating a normal distribution curve shows that the percentage of workers who earn between $750 and $1500 per month is ​

Placeholder

Drag these tiles and drop them in the correct blank above

800 workers

125 workers

81.5% of workers

97.5% of workers

Drag and Drop

​ The monthly income of 5000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250.


Creating a normal distribution curve shows that the percentage of workers who earn less than $1750 per month is ​

Placeholder

Drag these tiles and drop them in the correct blank above

800 workers

125 workers

81.5% of workers

97.5% of workers

​Please watch the video

Multiple Choice

A company installs 5000 lightbulbs, each with an average life of 500 hours, a standard deviation of 100 hours, and a distribution that is approximately normal.

How many lightbulbs can be expected to last between 400 and 700 hours?

• 4075 lightbulbs

• 4750 lightbulbs

• 1700 lightbulbs

• 3400 lightbulbs

Drag and Drop

​ The monthly income of 5000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250.


Creating a normal distribution curve shows that the amount of workers who earn more than $1500 per month is ​

Placeholder

Drag these tiles and drop them in the correct blank above

800 workers

125 workers

81.5% of workers

97.5% of workers

Drag and Drop

​ The monthly income of 5000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250.


Creating a normal distribution curve shows that the amount of workers who earn less than $750 per month is ​

Placeholder

Drag these tiles and drop them in the correct blank above

800 workers

125 workers

81.5% of workers

97.5% of workers

Multiple Choice

A grading scale is set up for 1000 students' test scores. It is assumed the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

How many students will have a score between 45 and 75?

• 47%

• 475

• 340

• 680

Multiple Choice

In the Olympics, the 100m sprint times are normally distributed with a mean of 10.5s and a standard deviation of 0.4s.

Out of 50 competitors, how many would you expect to record a time between 10.1 and 10.9 seconds?

• 66

• 34

• 17

• 16