WGU Applied Probability and Statistics (FZO1 C955) - Applied-Probability-and-Statistics Exam Questions [2026]

QUESTION NO: 1
Mean = 50, SD = 5, n = 25. Standard error = ?

A. 25 B. 1 C. 5 D. 0.2

Correct Answer: B

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QUESTION NO: 2
R² = 0.81 # correlation r = ?

A. 0.81 B. 0.9 C. ±0.81 D. ±0.9

Correct Answer: D

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QUESTION NO: 3
Standard error decreases when:

A. Decreases B. Sample size increases C. SD increases D. Confidence decreases

Correct Answer: B

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QUESTION NO: 4
A gardener records the length of a plant over a duration of 35 weeks. The scatterplot shows the data.

What is the relationship between length and time?

A. There is a weak positive relationship between time and the height of the plant. B. There is a weak negative relationship between time and the height of the plant. C. There is a strong negative relationship between time and the height of the plant. D. There is a strong positive relationship between time and the height of the plant.

Correct Answer: D

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QUESTION NO: 5
Standard deviation increases #

A. Data closer B. Data more spread out C. Variance decreases D. Mean increases

Correct Answer: B

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QUESTION NO: 6
A die is rolled twice. Probability of rolling two sixes?

A. 1/36 B. 1/6 C. 1/12 D. 1/4

Correct Answer: A

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QUESTION NO: 7
68-95-99.7 rule: % within 1 SD?

A. 99% B. 50% C. 95% D. 68%

Correct Answer: D

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QUESTION NO: 8
A researcher has collected information on students from a school. The researcher wants to display the ethnic groups represented in the school.
Which pair of graphs both display data in this manner?

A. Bar graph and histogram B. Bar graph and pie chart C. Pie chart and box plot D. Line graph and bar graph

Correct Answer: B

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QUESTION NO: 9
What is the mode of this dataset: 3, 5, 7, 7, 10?

A. The mode is 7. B. The mode is 5. C. The mode is 10. D. The mode is 3.

Correct Answer: A

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QUESTION NO: 10
Z-test used when:

A. Population # known B. # unknown C. Population categorical D. Sample small

Correct Answer: A

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QUESTION NO: 11
Expected value of binomial X ~ B(10, 0.3) = ?

A. 10 B. 0.3 C. 3 D. 7

Correct Answer: C

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QUESTION NO: 12
A commuter has a .4 probability of taking the bus to work, a .4 probability of driving a car, and a .2 probability of cycling. The probability of being late is .15 when taking the bus, .05 when driving a car, and .1 when cycling.
What is the probability of taking the bus and being on time, or driving a car and being on time?

A. .32 B. .72 C. .34 D. .76

Correct Answer: B

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QUESTION NO: 13
Dataset: 3, 5, 7, 9, 11. Median = ?

A. 9 B. 6 C. 5 D. 7

Correct Answer: D

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