AnswersCommon Core Algebra II - MA3111 B-ICApplications with Standard Normal Distribution

Applications with Standard Normal Distribution Answers

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1
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Explain how to use the standard normal table to find the probability associated with the shaded area under the curve.

Answer:

To find the probability of the shaded area between z 0.4 and z 1.9, first use the standard normal table to find the cumulative area to the left of z 1.9. Then, find the cumulative area to the left of z 0.4. Subtract the area for z 0.4 from the area for z 1.9 to find the probability of being within that specific interval.

2
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Did your answer include the following?

A
The standard normal table gives areas under the curve to the left of z-scores.
B
Find the probability in the standard normal table that a value is to the left of 1.9.
C
Find the probability in the standard normal table that a value is to the left of 0.4.
D
Subtract the probability of a value being to the left of 0.4 from the probability of a value being to the left of 1.9.
4

mc002-1.jpg

Question illustration
A
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Option A
B
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Option B
C
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Option C
5

%

Answer:

8

6

16%26%73%98%

A
16%
B
26%
C
73%
D
98%
10

1.251.52.5

A
1.25
B
1.5
C
2.5
11

11%40%60%✔ 89%

A
11%
B
40%
C
60%
D
89%
14

P(z > –2.1)1–P(z 2.1)

A
P(z > –2.1)
B
1–P(z < 2.1)
C
P(z < 2.1)
D
1–P(z > 2.1)
15

0.01790.58320.98211

A
0.0179
B
0.5832
C
0.9821
D
1

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