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Normal Distributions and Probability

Authored by Kimberly Riddle

Mathematics

9th - 12th Grade

CCSS covered

Used 60+ times

Normal Distributions and Probability
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16 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents?

0.6915
0.1762
0.8238
-0.93

Tags

CCSS.HSS.ID.A.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The mean GPA of students in a course at UCDavis 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%

Tags

CCSS.HSS.ID.A.4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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%
34%
16%
2.5%

Tags

CCSS.HSS.ID.A.4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

For a randomly selected subject in a standard normal distribution (mean is 0 and standard deviation is 1), find the probability of a score between 1.37 and 2.42.

0.078
0.785
0.223
0.023

Tags

CCSS.HSS.ID.A.4

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382.  Find the probability that one randomly selected woman has a red blood cell count above 5.4.

0.150
0.0156
0.215
0.0237

Tags

CCSS.HSS.ID.A.4

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382.  What percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?

82.3%
77.8%
72.6%
68%

Tags

CCSS.HSS.ID.A.4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find the score which separates the lower 60% from the top 40%.

 187.5
212.7
207.8
 211.3

Tags

CCSS.HSS.ID.A.4

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