Uniform Density Curves Answers

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A uniform density curve goes from negative 5 to positive 1.

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A
Negative one-sixth
Option A
B
One-sixth
Option B
C
One-fifth
Option C
D
1
2
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A
graph A only, because the curve is above the horizontal axis, and the area under the curve is 1
B
graph B only, because the curve is above the horizontal axis, and the area under the curve is 1
C
both graph A and graph B, because both curves are above the horizontal axis, and the areas under both curves equal 1
D
neither graph A nor graph B, because, even though both curves are above the horizontal axis, the area cannot be determined for graph B
3

Taylor's computer randomly generate numbers between 0 and 4, as represented by the given uniform density curve.

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A
12.5%
B
25%
C
50%
D
87.5%
4

Data collected from a coffee shop indicate that the price of a drink forms a consistent pattern that can be graphed as the given uniform density curve.

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A
One-third
Option A
B
one-half
Option B
C
Two-thirds
Option C
D
1
6

Consider the given density curve.

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A
–1
B
1
C
2
D
3
7

Consider the given density curve.

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A
–10
B
–7
C
–6
D
–2
8

Consider the given uniform density curve.

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A
4.25
B
4.5
C
4.75
D
5
9

Graph A: A horizontal line goes from (1, 0.5) to (2, 0.5). Another horizontal line goes form (2, 0.2) to (7, (0, 2). Graph B: A curve starts at (0, 0), curves up to (1, 1), and then curves down to (2, 0).

Question illustration
A
graph A only, because the curve is above the horizontal axis, and the area under the curve from 2 to 7 is 1
B
graph B only, because the curve is above the horizontal axis, and the area under the curve is equal to 1.57
C
both graph A and graph B, because both curves are above the horizontal axis, and both areas are positive
D
neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1
10

Records show that Oliver is typically 10–30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.

Question illustration
A
26.7%
B
33.3%
C
40%
D
50%

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