Applied Probability and Statistics (FZO1 C955) - Applied-Probability-and-Statistics Exam Practice Test

Question 1

A teacher plots the test scores of a class using the box plot.

What is the interquartile range?

A. 10 points

B. 22 points

C. 18 points

D. 8 points

Correct Answer: C

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Question 2

Z-test used when:

A. Sample small

B. # unknown

C. Population categorical

D. Population # known

Correct Answer: D

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Question 3

A recording studio raises its use fee to $75 and charges $40 per hour for studio time. The equation of the total cost of a recording session as a function of studio time is y = 40x + 75.
Which graph represents this equation?

A. Graph 1

B. Graph 2

C. Graph 3

D. Graph 4

Correct Answer: D

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Question 4

A t-distribution is used when:

A. # known, large sample

B. # unknown, small sample

C. Population categorical

D. Data continuous

Correct Answer: B

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Question 5

A school surveyed student participation in extracurricular activities. The survey found:
* The drama club had 50% of students participate.
* The science club had 30% of students participate.
* Both clubs had 15% of students participate.
What is the probability that a student participated in the drama club, given that they attended the science club?

A. .40

B. .3

C. .5

D. .15

Correct Answer: C

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Question 6

A study recorded the number of hours participants spent on exercise per week: 3 participants exercised for 1 hour, 6 participants exercised for 2 hours, 4 participants exercised for 3 hours, and 2 participants exercised for
4 hours.
Which type of graph would best represent the frequency of exercise hours?

A. A line graph with points connected to illustrate changes in exercise hours over time

B. A bar chart with bars showing the number of participants for each exercise duration

C. A pie chart with slices representing the proportion of each exercise duration

D. A scatterplot with points showing the relationship between exercise hours and fitness level

Correct Answer: B

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Question 7

95% confidence interval for mean = (45, 55). Which statement is correct?

A. Population mean always 55

B. Mean is 50

C. Interval is fixed probability

D. Population mean is 95% likely within interval

Correct Answer: D

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Question 8

What percent of data lies within 2 standard deviations of the mean in a normal distribution?

A. 95%

B. 68%

C. 99%

D. 50%

Correct Answer: A

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Question 9

The average commute time for workers in a city in 2021 was 35 minutes, with a standard deviation of 5 minutes.
Assuming a normal distribution, which two values encompass 95% of the data?

A. 30 minutes and 40 minutes

B. 20 minutes and 50 minutes

C. 35 minutes and 40 minutes

D. 25 minutes and 45 minutes

Correct Answer: D

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Question 10

In a city's public transportation system, the distribution of commuters by mode of transport is as follows: 40% use buses, 25% use trains, 20% use bicycles, 10% walk, and 5% use other means of transportation.
What is the probability that a randomly selected commuter uses either a bus or a train?

A. 30%

B. 45%

C. 50%

D. 65%

Correct Answer: D

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Question 11

Poisson used for:

A. Rare events per interval

B. Continuous data

C. Success/failure trials

D. Categorical data

Correct Answer: A

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Question 12

A class of 25 students includes 10 who play soccer, 8 who play basketball, and 7 who play neither sport.
What is the probability of randomly selecting a student who does not play soccer?

A. .60

B. .50

C. .40

D. .30

Correct Answer: A

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Question 13

There are 12 cell phone charging cords available at a store for purchase. The length of each charging cord in inches is reflected as 3, 3, 4, 6, 6, 6, 6, 7, 10, 10, 11, and 12, respectively.
What are the mean of these data?

A. 9

B. 7

C. 8

D. 6

Correct Answer: B

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WGU Applied Probability and Statistics (FZO1 C955) - Applied-Probability-and-Statistics Exam Practice Test

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