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WGU C955 Probability and Statistics
Objective Assessment Exam 2023
- What is 3/4 divided by
2/3? A) 9/8
B) 5/12
C) 5/7
D) 6/7: 9/8 - A county park has hiking paths with lengths of 1.05, 3.6, 3.17, and 2.2
miles.
What is the total length, in miles, of hiking paths in the park?
A) 9.02 miles
B) 10.02 miles
C) 10.12 miles
D) 11.2 miles: 10.02 miles - If there are 2 tablespoons in 1 fluid ounce, how many tablespoons does
the following calculation yield?
2 /
4 fl oz – 1.5 tbsp
0.5 tbsp
1 tbsp
2.5 tbsp
6.5 tbsp: 6.5 tbsp
- Solve for X:
X – 5/4 = 2/3
A) 3/12
B) 7/12
C) 10/12
D) 23/12: 23/12 - Solve for
X:
X+5/3=2/3
A) -3
B) -1
C) 1
D) 3: -1 - Given the
inequality: 2y + 6 > 20
Which graph is the
3 /
solution? A) {{ y < 3 }}
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B) {{ y > 6 }}
C) {{ y > 7 }}
D) {{ y < 7 }}: {{ y > 7 }}
- Which graph is the solution for y < 8?
A) {{ unfilled circle on 8, arrow pointing left }}
B) {{ filled circle on 8, arrow point left }}
C) {{ unfilled circle on 8, arrow pointing right }}
D) {{ filled circle on 8, arrow point right }}: {{ unfilled circle on 8, arrow
pointing left }} - Which graph is the solution for 4y – 6 >
18? A) {{ y > 4 }}
B) {{ y > 6 }}
C) {{ y < 4 }} D) {{ y < 6 }}: {{ y > 6 }} - What is the correct line graph for y = 3x +
5? A) (0,5) to (2,11)
B) (0,-5) to (2,-11)
C) (0,3) to (2,5)
D) (0,3) to (2,-7): (0,5) to (2,11)
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WGU C955 Probability and Statistics Pre Assessment Exam 20231. In a class of 25 students, the following test scores were obtained:
31, 46, 49, 52, 55, 67, 68, 68, 69, 69, 71, 73, 73, 75, 75, 78, 79, 82, 84, 84, 85,
87,
91, 92, 97
Which statement is true about this distribution ANS The distribution is
skewed to the left.
- In a class of 25 students, the following test scores were obtained:
51, 59, 59, 59, 67, 68, 68, 69, 69, 71, 73, 73, 75, 75, 78, 79, 82, 84, 85, 85, 87,
91,
92, 93, 93
A histogram of interval width 10 starting with the interval [50, 60] was
constructed using the above data.
Which statement is true about this distribution as depicted by the
his- togram ANS It is a unimodal symmetric distribution.
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- In a class of 25 students, the following scores were received on a
quiz: 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9
For this distribution, what is the most appropriate measure of central
tenden- cy ANS Either the mean or the median - The following 5-number summaries were obtained for two
distributions, A and B:
A 3.2 4.9 5.7 5.9 8.2
B 2.7 5.1 5.7 6.9 7.5
The distribution of A is skewed to the right, whereas the distribution of B is
skewed to the left.
How are the means of the two distributions related ANS The mean of A is
higher than the mean of B. - A study is conducted to determine if there is a difference in final exam
scores in high school classrooms when different types of instruction are
used. The two types of instruction included in the study are direct
instruction
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and computer-based instruction.
What are the explanatory (X) and response (Y) variables for this study ANS
The type of instruction is the explanatory variable (X) and the test
score is the response variable (Y).
- A store asked 350 of its customers whether they were satisfied with
their service. The responses were also classified according to the gender
of the customers.
Satisfied Somewhat
Satisfied Not
Satisfied Total
Male 60 60 50 170
Female 45 20 115 180
Total 105 80 165 350
If a person wanted to study whether the level of satisfaction is related to
or affected by gender, what is the appropriate table of conditional
probabili- ties ANS Satisfied Somewhat
Satisfied Not
Satisfied Total
Male 35.3% 35.3% 29.4% 100%
Female 25.0% 11.1% 63.9% 100%
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WGU C955 Applied Probability and Statistics
Study Guide 2023
1.Changing Improper Fractions and Mixed Numbers: Improper fractions
can be converted to mixed numbers by following these steps:
Write division problem with numerator divided by
denominator. Divide to determine quotient and
remainder.
Write mixed number with the quotient as the whole number and the
remainder as the numerator over the same denominator.
2.Changing Mixed Numbers Into Improper Fractions: Mixed numbers can
also be converted to improper fractions by following these steps:
Multiply the whole number by the denominator of the fraction.
To the product given by step 1, add the number of the numerator.
Write the result of step 2 as the numerator of the improper fraction. Thedenomi- nator of the improper fraction should be the denominator of
the original fraction.
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Simplify the improper fraction by diving the numerator and
denominator by all common factors.
3.Discrete Data: Has distinct values, can be counted, has
unconnected points (dots)
4.Continuous data: Has values within a range, measured (not counted)
does not have gaps between data points. (connected lines or curves)
5.Sign rule for Multiplication and division: 1. +# x +#
= +# 2. -# x -# = +#
A product or division of two numbers of the same sign will result in
a positive number
- -# x +# = -#
- +# x -# = -#
A product or division of two numbers of different signs will result in a
negative number
6.Prime Number: A prime number is a number that has exactly two
positive factors; 1 and itself.
7.Composite Number: A number that is not prime. It has 2 or more
positive factor, including 1 and itself.
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8.Prime Factorization: Writing the number as a product of only prime
numbers.
9.Greatest Common Factor (GCF): The larges number that divides all
the given numbers evenly.
10.Multiples of a number: Numbers that can be obtained by multiplying
the given number by 1, 2, 3, 4, etc.
11.Least Common Multiple (LCM): the smallest positive number that
can be divided by the given numbers
12.Centigrade/Fahrenheit Conversions: C = (F – 32) X
5/9 F = (C X 9/5) + 32
13.Unit Conversions for Household Measures of Volume: 1 tablespoon
= 3 teaspoons
1 oz = 2 tablespoons
1 cup = 8 oz
1 pint = 2 cups
1 quart = 1 pints
1 gallon = 4 quarts
14.Common Metric Conversions: 1 L = 1000
mL 1kg = 1000 g
1 g = 1000 mg
1 mg = 1000 mcg
15.Conversions between Household and Metric Units: 1 cc (Cubic
Centimeter)
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WGU C955 Applied Probability and Statistics
All Terms and Formulas
1.Basic probability: #of total come# of total outcome in the sample
space
2.P(B | A): conditional probability
3.P(A and B)=P(A) • P(B): multiplication rule- independent events
4.P(A and B)= P(A) • P(B|A): multiplication rule- dependent events
5.P(A or B)= P(A) + P(B): addition rule- Disjoint
6.P(A or B)= P(A) + P(B) – P(A and B): addition rule- non-Disjoint
7.product: The result of multiplying values.
8.factorization: The process of determining the prime factors of a
composite number.
9.integer: “A number, (positive, negative, or zero), that can be
represented without a fractional or a decimal component.”
10.superscript: A symbol (such as a number or letter) written above
and imme- diately to the left or right of another character.
11.perfect square: “The product of any integer with itself. . So, a
number is a this if it can be written as the square of an integer. For
example, 3 * 3 = 9.”
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12.expression: “A string of terms that are connected by division,
addition, and subtraction operations.”
13.addition: Finding the total of two or more values.
14.interval: A set of numbers between two specified values.
15.difference: The result of one number being subtracted from another
number.
16.multi-step expression: An expression or equation with more than
two values and two or more operators that requires multiple steps to
be solved.
17.discrete: “A collection of numbers whose values are distinct,
separate, and unconnected.”
18.negative number: “A number whose value is less than zero. On the
number line, they are to the left of zero.”
19.division: Splitting values into equal parts or groups.
20.estimation: Approximating a value for a calculation
21.radical sign: The symbol which indicates to take the square root of
the number that follows.
22.numbers: A word or symbol (such as ‘five’ or ’16’) that represents
a specific amount or quantity.
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23.exponents: “Sometimes called a power, it is a quantity that
represents repeat- ed multiplication.”
24.parentheses: “In mathematics, these () are used to separate
operations within an expression. Any operations that lie within
parentheses should be performed first.”
25.real number: “Any numbers on the number line. They include zero,
negative and positive integers, fractions, and decimals.”
26.sum: The result of multiple numbers being added together.
27.square root: A number that produces a specified number when it is
multiplied by itself.
28.Fundamental Theorem of Arithmetic: A concept which states that any
inte- ger greater than 1 is either prime or is the product of a unique set
of prime numbers.
29.prime number: A number with only two factors: one and itself.
30.operator: A word or symbol (such as + or -) that indicates an
operation between values.
31.principal square root: “The positive square root of a number. For
example, the principal square root of 36 is 6.”
32.whole number: A number whose value is 0 or greater (negative
numbers are not considered this), and can be represented without a
fractional or a decimal component.
33.positive number: “A number whose value is greater than zero. On
the number line, these numbers are to the right of zero.”