WGU C955 Applied Probability and Statistics Final Exam

WGU C955 Applied Probability and
Statistics Final Exam

1. What is 3/4 divided by 2/3?

• A) 5/12
• B) 5/7

• C) 6/7

• D) 9/8 (Correct ,,,,answer,,,,)

<details> <summary>📝 Rationale</summary> To divide by a fraction,
multiply by its reciprocal. (3/4) * (3/2) = 9/8 [citation:2][citation:6].
</details>




2. In a positively skewed distribution, which relationship is typically
true?

• A) Mean = Median = Mode
• B) Mean < Median < Mode

• C) Mean > Median > Mode (Correct ,,,,answer,,,,)

• D) Median > Mean > Mode

<details> <summary>📝 Rationale</summary> In a positively skewed
(right-skewed) distribution, the mean is pulled toward the higher values
in the tail, making it the largest measure, while the mode remains at the
peak. The order is Mean > Median > Mode [citation:1]. </details>

,3. A data set has a standard deviation of 0. What does this indicate?

• A) All values are negative
• B) All values are identical (Correct ,,,,answer,,,,)

• C) The mean is zero

• D) The data is normally distributed

<details> <summary>📝 Rationale</summary> Standard deviation
measures the spread or variability of data. A standard deviation of 0
means there is no variability; every data point is exactly the same
[citation:1]. </details>




4. Which graph is best for displaying the distribution of a single
quantitative variable?

• A) Bar chart
• B) Pie chart

• C) Histogram (Correct ,,,,answer,,,,)

• D) Scatter plot

<details> <summary>📝 Rationale</summary> Histograms are
specifically designed to show the distribution of a single quantitative
variable by grouping data into intervals (bins) and displaying
frequencies [citation:1]. </details>




5. Which of the following is an example of discrete data?

• A) Speed of a car
• B) Weight of a dog

, • C) Adults in a household (Correct ,,,,answer,,,,)
• D) Time to go to bed

<details> <summary>📝 Rationale</summary> Discrete data has
distinct, countable values. The number of adults in a household is a
whole number, making it discrete. Speed, weight, and time are
continuous measurements [citation:5][citation:7]. </details>




6. Which set of numbers is continuous?

• A) Integers
• B) Rational

• C) Real (Correct ,,,,answer,,,,)

• D) Whole

<details> <summary>📝 Rationale</summary> Real numbers include
all rational and irrational numbers, which can represent any value on a
number line without gaps. This makes them a continuous set
[citation:5][citation:7]. </details>




7. Which number is a prime number?

• A) 21
• B) 22

• C) 23 (Correct ,,,,answer,,,,)

• D) 24

<details> <summary>📝 Rationale</summary> A prime number is a
positive integer greater than 1 that has exactly two positive factors: 1
and itself. 23 fits this definition [citation:5][citation:7]. </details>

, 8. What is the probability of someone having a birthday in May,
June, or July?

• A) 1/6
• B) 1/4 (Correct ,,,,answer,,,,)

• C) 1/3

• D) 1/2

<details> <summary>📝 Rationale</summary> There are 3 months
(May, June, July) out of 12 total months. The probability is 3/12, which
simplifies to 1/4 [citation:3]. </details>




9. In a bag, there are 8 red marbles, 10 blue marbles, 9 green
marbles, and 5 black marbles. Find the theoretical probability of
drawing a black marble out of the bag.

• A) 5/32 (Correct ,,,,answer,,,,)
• B) 1/4

• C) 9/32

• D) 5/16

<details> <summary>📝 Rationale</summary> The total number of
marbles is 8 + 10 + 9 + 5 = 32. There are 5 black marbles, so the
probability is 5/32 [citation:3]. </details>