The Uniform Distribution Quiz
The question sheet
Reveal any answer as you study-
The square footage data for the 28 homes is described by which distribution notation?
- X ~ U(1.5, 4.5)
- X ~ U(0.5, 9.5)
- X ~ U(0, 12)
- X ~ U(1.5, 4.0)
Reveal answer
Answer: X ~ U(1.5, 4.5)
Source evidence
PDF page 271: The distribution can be written as X ~ U(1.5, 4.5).
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For the 28-home square footage data, what is the sample mean?
- 0.8302
- 3.60
- 2.50
- 4.50
Reveal answer
Answer: 2.50
Source evidence
PDF page 271: The sample mean = 2.50 and the sample standard deviation = 0.8302.
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For the 28-home square footage data, what is the sample standard deviation?
- 0.8302
- 1.50
- 2.50
- 4.50
Reveal answer
Answer: 0.8302
Source evidence
PDF page 271: The sample mean = 2.50 and the sample standard deviation = 0.8302.
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In the distribution X ~ U(0, 12), what is the highest value that x can take?
- 12
- 0
- 9.5
- 4
Reveal answer
Answer: 12
Source evidence
PDF page 271: Use the following information to answer the next eight exercises. A distribution is given as X ~ U(0, 12).
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The age of cars in the staff parking lot is uniformly distributed from what lowest age?
- 1.5 years
- 6 years
- 0.5 years
- 0 years
Reveal answer
Answer: 0.5 years
Source evidence
PDF page 271: Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.
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How many homes are described in the square footage data set?
- 14
- 12
- 28
- 9
Reveal answer
Answer: 28
Source evidence
PDF page 270: Use the following information to answer the next ten questions. The data that follow are the square footage (in 1,000 feet squared) of 28 homes.
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For the car age problem, part b asks to identify the lowest value for which variable?
- x
- P
- k
- y
Reveal answer
Answer: x
Source evidence
PDF page 272: b. Identify the following values:
PDF page 272: i. Lowest value for x : _______
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In the car age exercises, what conditional probability is asked to be found?
- P(x > 2)
- P(x < 4 | x < 7.5)
- P(x = 4)
- P(x < 4)
Reveal answer
Answer: P(x < 4 | x < 7.5)
Source evidence
PDF page 273: b. Find the probability. P(x < 4 | x < 7.5) = _______
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For the U(0, 12) distribution, which probability is requested in part b?
- P(x < 7.5)
- P(x > 4)
- P(x = 4)
- P(x < 4)
Reveal answer
Answer: P(x < 4)
Source evidence
PDF page 272: b. Find the probability. P(x < 4) = _______
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In the car age problem, the value k is found such that P(x < k) equals what?
- 1.00
- 0.25
- 0.50
- 0.75
Reveal answer
Answer: 0.75
Source evidence
PDF page 273: b. Find the value k such that P(x < k) = 0.75.
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In the car age problem, the value k found corresponds to which quartile?
- Second quartile
- First quartile
- Third quartile
- Median
Reveal answer
Answer: Third quartile
Source evidence
PDF page 273: c. The third quartile is _______
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When sketching the uniform distribution graph, which value must be identified?
- Radius of the curve
- Slope of the line
- Peak of the bell
- Height of the rectangle
Reveal answer
Answer: Height of the rectangle
Source evidence
PDF page 272: iii. Height of the rectangle: _______
Introductory Business Statistics
Introductory Business Statistics by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.
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