Normal Distributions Area

What percent is represented by the blue area?

• 34%

• 68%

• 95%

• 99.7%

What percent is between -2 and 2?

• 68

• 95

• 99.7

• 47.5

What percent is represented by the green area?

• 68%

• 95%

• 99.7%

• 49.85

What percent is represented by the area between -2 and 0?

• 68%

• 34%

• 47.5%

• 95%

​ 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 ​ (a)  

• 800 workers

• 125 workers

• 81.5% of workers

• 97.5% of workers

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 ​ (a)  

• 800 workers

• 125 workers

• 81.5% of workers

• 97.5% of workers

​ 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 ​ (a)  

• 800 workers

• 125 workers

• 81.5% of workers

• 97.5% of workers

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. If a grade of a 60 is the lowest passing score, how many students are expected to pass the test? ​ (a)   How many students are expected to fail the test? ​ (b)  

• 840 students

• 160 students

• 84 students

• 16 students

• 877 students

• 123 students

What type of distribution is pictured?

• Right skewed

• Left skewed

• Random

• Normal

What is the the total area under the standard normal distribution curve?

• 100

• 25

• .5

• 1