AnswersAA - F26 Advanced AlgebraIntroduction to Normal Distributions

Applications with Standard Normal Distribution Answers

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1
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What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. z Probability0.000.50001.000.84132.000.97723.000.9987

Question illustration
A
0.14
B
0.16
C
0.86
D
0.98
2
Free Preview

What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. zProbability0.000.50001.000.84132.000.97723.000.9987

Question illustration
A
0.02
B
0.14
C
0.34
D
0.84
3

For a standard normal distribution, which of the following variables always equals 0?

A
Mu
Option A
B
Sigma
Option B
C
x
D
z
4

What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table to help answer the question.zProbability0.000.50001.000.84132.000.97723.000.9987

Question illustration
A
0.16
B
0.68
C
0.82
D
0.84
5

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution?

A
47.5%
B
68%
C
95%
D
99.7%
6

Which of the following statements is equivalent to ?

Question illustration
A
P (z greater-than-or-equal-to negative 1.7)
Option A
B
1 minus P (z greater-than-or-equal-to negative 1.7)
Option B
C
P (z less-than-or-equal-to 1.7)
Option C
D
1 minus P (z less-than-or-equal-to 1.7)
Option D
7

The probability that a random variable is greater than or equal to z standard deviations from the mean in a standard normal distribution is p%. What can be said with certainty about the probability that the random variable is less than or equal to –z standard deviations from the mean?

A
The probability is less than p%.
B
The probability is equal to p%.
C
The probability is greater than p%.
D
The probability is not equal to p%.
8

A normal distribution of data has a mean of 15 and a standard deviation of 4. How many standard deviations from the mean is 25?

A
0.16
B
0.4
C
2.5
D
6.25
9

What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. z Probability0.000.50001.000.84132.000.97723.000.9987

Question illustration
A
0.02
B
0.16
C
0.18
D
0.82

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