Normal Probability Distributions

Normal Probability Distributions

12th Grade

14 Qs

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Normal Probability Distributions

Normal Probability Distributions

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

Anthony Clark

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  Approximately what percent of days in February will have days below 23 degrees?

5%

34%

50%

68%

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The average height of NBA basketball players is 79 inches with a standard deviation of 1.75 inches. Approximately what percent of the players are taller than 82 inches?

about 4% to 5%

about 2% to 3%

about 6% to 7%

about 6.5%c to 7.5%

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The distribution of SAT scores of all college-bound seniors taking the SAT in 2014 was approximately normal with mean of 1497

and standard deviation of 322. Calculate the z-score of a student earning a score of 1980.


.

2

1.5

1.75

2.25

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For the population of farm workers in New Zealand, suppose that weekly income has a distribution with a mean of µ = $500 and a standard deviation of σ = $160. A survey of 100 farm workers is taken, including information on their weekly income. What is the probability that a randomly selected worker has an income of at most $530?

0.0304

0.9696

0.4591

0.318

~0

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean weight of potato chip bags is 10.5 ounces with a standard deviation of 3 ounces. A random sample of 40 bags of potato chips is selected. What is the probability that the mean of the sample is less than 10 ounces?

-1.05

.146

.020

.853

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4000 gallons and a standard deviation of 125 gallons.  What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3950 gallons?

.0057

.025

.345

.781

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours.  What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night?

.430

.148

.281

.087

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