Order Number 
636738393092 
Type of Project 
ESSAY 
Writer Level 
PHD VERIFIED 
Format 
APA 
Academic Sources 
10 
Page Count 
312 PAGES 
Part I. Basic Computations
Questions 1 and 2 are based on the following information regarding this group of students.
Student Name Gender Hair Color How many pairs of shoes do you own?
A John M Black 3
B Mary F Blonde 12
C Kerry F Brown 8
D Michael M Brown 1
E Nakita F Red 34
F Jill F Blonde 8
G David M Brown 9
H Eric M Black 2
A = { all male students}
B = {all students with brown hair}
C = {all students with more than 8 pairs of shoes}
Using the table above, determine the contents of the following sets and express them in listnotation. Your explanation may be a sentence that demonstrates your understand the notation.
1. (5 points)
Answer:
Explanation:
2. (5 points) Find , then determine which of these sets are equal?
Answer:
Explanation:
3. A group of students was surveyed for whether they had ever seen the first three sequels of Star Wars. There were a total of 46 students in the group.
17 students had seen StarWars I
17 students had seen StarWars II
23 students had seen StarWars III
6 students had seen StarWars I and StarWars II
8 students had seen StarWars I and StarWars III
10 students had seen StarWars II and StarWars III
2 students had seen all three movies.
a. (3 points) Draw a Venn Diagram representing the students who have seen the three movies.
[In Microsoft Word 2007, you may use Insert/SmartArt to draw a Venn Diagram. Another alternative is to use Creately.com to draw your diagram, then use CTRLPRTSCRN to paste it into this document. You may also draw the diagram by hand, take a picture of the drawing or scan it in, then paste it into your document.] Explain the logical steps involved in arriving at the values for each area of the diagram.
Answer:
Explanation:
b. (1 point) How many students have seen exactly 2 of the movies?
Answer:
Explanation:
c. (1 point) How many students have seen NONE of the movies? Explain how you got your answer.
Answer:
Explanation:
Part II. Case Study The case of the Stolen Chemistry Exam
This week Patty Madeye is going to be investigating the theft of a final exam for Chemistry 101 at a local university. At this university, some students are considered resident students (meaning that they live on campus) and some are considered commuter students (they live elsewhere).
Patty learns that there are 150 students taking Chemistry 101 this semester. She considers every one of them a suspect in the theft of the exam, since they are the only ones who could benefit from seeing the exam. Since Patty has taken Discrete Mathematics, she uses P to represent the set of suspects.
P = {Set of all students taking Chemistry 101}
Task #1 (4 points) – In the first scene of the episode, Patty will find the envelope in which the exams had been placed. The discarded envelope is in the garbage can near the student lounge frequented by commuter students, which seems to indicate that whoever took the exam is a commuter student. Using the forms of set notation that you learned about in this unit your first task is to express this set of suspect students, which we will call C. Be sure to specify both the setbuilder notation and the descriptive notation.
Answer:
Explanation:
Task #2 (4 points) – Patty learns that there are 300 students are commuter students, 10 of which are taking Chemistry 101. She needs some help representing these 10 students using the sets from above.
How would you represent the set containing {all commuter students who are taking Chemistry 101} using a set operation on C and P?
Answer:
Explanation:
Task #3 (4 points) – Further research from the security video tapes for the building where the exams were stolen indicates that there were 86 people who entered the building around the time of the theft. Of these 86 people (which we will identify as set V), 16 visited the commuter student lounge and 20 of them were identified by the professor as being in the Chemistry 101 class. 51 of the visitors are neither commuters nor students in the Chemistry class. Patty needs you to summarize all these clues, as follows:
Complete this column with your answer Explain your answer in this column
n(C) =
n(P) =
n(V) =
n(C ∩ P) =
n(C ∩ V) =
n(V ∩ P) =
n(C U P) =
n((C U P)’ U V) =
Task #4 (8 points) – Patty looks at all these clues and does some quick figuring and says “I’ve got it! I know who stole the exams!”. She asks you to draw a Venn Diagram, then write an explanation of how you arrived at the numbers in the diagram. How does Patty know who stole the exams?
Answer:
Explanation:
RUBRIC  
Excellent Quality
95100%

Introduction
4541 points The context and relevance of the issue, as well as a clear description of the study aim, are presented. The history of searches is discussed. 
Literature Support
9184 points The context and relevance of the issue, as well as a clear description of the study aim, are presented. The history of searches is discussed. 
Methodology
5853 points With titles for each slide as well as bulleted sections to group relevant information as required, the content is wellorganized. Excellent use of typeface, color, images, effects, and so on to improve readability and presenting content. The minimum length criterion of 10 slides/pages is reached. 
Average Score
5085% 
4038 points
More depth/information is required for the context and importance, otherwise the study detail will be unclear. There is no search history information supplied. 
8376 points
There is a review of important theoretical literature, however there is limited integration of research into problemrelated ideas. The review is just partly focused and arranged. There is research that both supports and opposes. A summary of the material given is provided. The conclusion may or may not include a biblical integration. 
5249 points
The content is somewhat ordered, but there is no discernible organization. The use of typeface, color, graphics, effects, and so on may sometimes distract from the presenting substance. It is possible that the length criteria will not be reached. 
Poor Quality
045% 
371 points
The context and/or importance are lacking. There is no search history information supplied. 
751 points
There has been an examination of relevant theoretical literature, but still no research concerning problemrelated concepts has been synthesized. The review is just somewhat focused and organized. The provided overview of content does not include any supporting or opposing research. The conclusion has no scriptural references. 
481 points
There is no logical or apparent organizational structure. There is no discernible logical sequence. The use of typeface, color, graphics, effects, and so on often detracts from the presenting substance. It is possible that the length criteria will not be reached. 
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