Probability Under the Normal Distribution

Probability Under the Normal Distribution

10th - 12th Grade

26 Qs

quiz-placeholder

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Probability Under the Normal Distribution

Probability Under the Normal Distribution

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Barbara White

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26 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?
68%
99.7%
95%
84%

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the GPA of the highest 2.5% of the students?
4.1 
4.1 or higher
4.7
4.5 or higher

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. How common is a score between 600 and 700? Calculate the probability. 
2.5%
2.35%
16%
13.5%

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A 12 oz can of soda has a mean volume of 12 oz, with a standard deviation of .25 oz. How common are cans with less than 11.5 oz of soda? Calculate the probability.
2.5%
.15%
2.35%
2.25%

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
 28,000 km and 32,000 km.
24,000 km and 34,000 km.
26,000 km and 34,000 km.
27,000 km and 31,000 km.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  
2
1
-2
-1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image
1.  Which best describes the shaded part of this normal distribution graph?  
All data that is one or higher.
All data that is one or more standard deviations above the mean.
All data that is between 1 and 3.
All data that is above the mean.

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