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MATH125: Unit 6 Submission Assignment Answer Form
1. Apply the order of operations to solve disciplinespecific problems involving probabilities and counting principles.
2. Calculate applications of mathematical problems involving probabilities. 3. Differentiate between the concepts of odds and probabilities, as well as permutations and combinations, and identify how they relate to one another. 4. Identify and choose viable likelihoods based on calculated probabilities. 
Logic, Decision Making, and Introduction to Statistics
ALL questions below must be answered. Show ALL stepbystep calculations, round all your final answers correctly, and include the units of measurement. Upload this modified Answer Form to the intellipath Unit 6 Submission lesson. Make sure that you submit your work in a modified MS Word document; handwritten work will not be accepted. If you need assistance, please contact your course instructor.
A proposed directed study MATH125 class comprising 25 students earned the following grades on the first unit:
MATH125  Total  Percentage  Unit 1  U1DB2  U1DB  U1i  U1SA 
Class  Letter  Grade  Points  Points  Points  Points  Points 
Names  Grade  Total (100)  Total (200)  Total (50)  Total (10)  Total (50)  Total (90) 
Student #1  B  82%  163  48  10  50  55 
Student #2  C  72%  144  34  0  40  70 
Student #3  C  74%  148  40  10  43  55 
Student #4  A  93%  186  50  10  36  90 
Student #5  B+  87%  174  48  10  46  70 
Student #6  F  56%  112  44  5  28  35 
Student #7  B  84%  168  50  10  43  65 
Student #8  B  80%  159  46  10  48  55 
Student #9  C+  79%  158  50  10  73  25 
Student #10  B  86%  172  33  5  44  90 
Student #11  B  80%  159  34  10  50  65 
Student #12  C+  77%  154  40  5  44  65 
Student #13  A  90%  179  36  10  43  90 
Student #14  C  73%  145  42  10  38  55 
Student #15  D+  66%  131  28  0  33  70 
Student #16  B+  87%  174  34  10  50  80 
Student #17  C  79%  158  30  0  43  85 
Student #18  B  80%  159  46  10  38  65 
Student #19  C+  78%  155  22  10  33  90 
Student #20  D  61%  121  28  10  38  45 
Student #21  B  80%  159  34  10  50  65 
Student #22  B+  88%  175  40  10  50  75 
Student #23  B  85%  169  41  0  43  85 
Student #24  B  80%  160  22  10  48  80 
Student #25  C  74%  148  50  10  33  55 
1. Calculate the class average for Unit 1. Using the “Grading Scale” listed below with the “Percentage Grade Total” above, what is the overall class average “Letter Grade”?
Grading Scale  
Letter Grade  Percentage  Letter Grade  Percentage 
A  93–100  C+  77–79.99 
A  90–92.99  C  73–76.99 
B+  87–89.99  C  70–72.99 
B  83–86.99  D+  67–69.99 
B  80–82.99  D  60–66.99 
Class Average  Letter Grade  
Unit 1 
? 
?

Show your work here: (5 points)
2. Create a frequency table to show the distribution of grades across the grading scale for the first week. (5 points)
Letter Grade  Percentage  Frequency #  Cumulative Frequency # 
A  93–100  ?  ? 
A  90–92.9  ?  ? 
B+  87–89.9  ?  ? 
B  83–86.9  ?  ? 
B  80–82.9  ?  ? 
C+  77–79.9  ?  ? 
C  73–76.9  ?  ? 
C  70–72.9  ?  ? 
D+  67–69.9  ?  ? 
D  60–66.9  ?  ? 
F  Below 59.9  ?  ? 
3. Describe what you see based on the frequency distribution. (5 points)
4. Calculate the mean, median, and mode for the class’s first unit “Percentage Grade Total” grades.
Answers
(Rounded to the nearest percent) 

Mean  ? 
Median  ? 
Mode  ? 
Show your work here: (15 points)
5. Use the formulas for range, population variance, and population standard deviation with the “Percentage Grade Total” to complete the following table. Make sure to check your answers with MS Excel. Also, round your answers to four decimal values.
Answers  
Range  ? 
Variance  ? 
Standard deviation  ? 
Show your work here: (15 points)
6. At AIU, the following hypothetical propositions, p and q, are typically found to be true:
p: I redo my previous unit’s intellipath nodes.
q: I improve my overall score.
Write out the conditional statement as a symbolic sentence.
English Sentence  Symbolic Sentence 
If I redo my previous unit’s Intellipath nodes, then I improve my overall score. 
? 
Write out the conditional statement as a symbolic sentence.
English Sentence  Symbolic Sentence 
If my overall score did not improve, then I did not redo my previous unit’s intellipath nodes. 
? 
Are these two symbolic sentences logically equivalent? Why, or why not? (15 points)
7. The following hypothetical propositions, p and q, pertain strictly to Student #12 only.
p: They score 70 points on the Unit 5 Submission Assignment.
q: They will earn an 80% grade in the class.
Write out the conditional statement p → q as an English sentence.
Symbolic Sentence  English Sentence 
p → q 
? 
Write out the conditional statement q → p as an English sentence.
Symbolic Sentence  English Sentence 
q → p 
? 
Are these two English sentences logically equivalent? Why, or why not? (15 points)
8. Fill out the following truth table to determine the possible outcomes for the compound statement ~ q ∨ p. (15 points)
p  q  ~ q  ~ q ∨ p 
T  T  ?  ? 
T  F  ?  ? 
F  T  ?  ? 
F  F  ?  ? 
Is this compound statement a tautology (T), fallacy (F), or neither?
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