For the first four Units of this course, you have learned several topics in disc

For the first four Units of this course, you have learned several topics in disc

Apr 10, 2020 | For the first four Units of this course, you have learned several topics in disc

For the first four Units of this course, you have learned several topics in disc

For the first four Units of this course, you have learned several topics
in discrete mathematics including number representations, logical reasoning,
elementary probability, and set theory.
You are now being asked to apply this knowledge to real world situations
by filling the role of a subject-matter expert for an upcoming television
show. The working title for this show is
The Patty Madeye Mysteries. You will
be working with the writers and producers for this exciting show. The staff will need your help in interpreting
and analyzing evidence for robbery, missing persons, and embezzlement cases, as
storylines for the show. The show will
be a cyber-crime series, including a number of episodes where you will be
solving crimes using your mathematics and problem-solving skills. For this Midterm Project, you will help
produce the first four episodes. Each
episode contains 2-4 scenes with questions to answer. There are 16 total questions.
.jpg”>
Episode
1: The Case of the Missing Puppies
Episode 2: The Case of the Noontime Robbery
Episode 3: The Case of the Caribbean Criminals
Episode 4: The Case of the Stolen Chemistry Exam
The star of the show is Patty Madeye, shown to the left. Patty is a crack detective with quite a bit
of experience in solving crimes. Based
on your knowledge of mathematics, you will be providing research and background
information that will make the script more interesting. For example, rather than simply finding a
clue with a mailing address on it, Patty will find a portion of an envelope
with a Postnet bar-code on it. You will
show how that bar-code can be interpreted using a binary numeration system to
discover the zip code.
Requirements for completing the Project:
? Your
project must be submitted as a Microsoft Word document and uploaded to the Unit
4 Dropbox.
? Please show your work! You are free to use other tools and utilities
to prepare your work, but all your answers and the work that supports those
answers must be pasted into your Word document.
For instance, if you do a calculation in Excel to determine an answer,
enter both the calculation formula as well as the answer into your document:
Answer:
Using Excel: = (90+5) * 45
results in 4275
? All of
the problems require not only the answer, but also an explanation. Unless specifically stated, each explanation
should be at minimum 2-3 sentences written in your own words.
TYPE YOUR NAME HERE:

Episode
1: The Case of the Missing Puppies
This first episode of Patty Madeye Mysteries is called The Case of
the Missing Puppies.
.jpg” alt=”shutterstock_12606544″>
You have been asked to do research for an episode where Patty will be
challenged to find a trio of stolen puppies, shown to the right. Their names are Moe, Buttercup, and
Fluffy. The owners have been raising the
puppies with the hopes of winning big prizes in this springs season of dog
shows. Patty is asked to help find the
puppies.
Episode 1, Scene #1:
This Postnet barcode was found on the floor next to where the puppies
were last seen.
Patty knows that Postnet (Postal Numeric Encoding Technique) is a
barcoding system used by the United States Postal Service to direct mail. As each piece of mail is processed, a barcode
is printed on the envelope indicating the zip code to which the mail is
addressed. The barcode is made up of
full bars (representing a 1) and half bars (representing a 0) in a pattern that encodes the characters of
the zip-code using a binary representation.

The barcode starts with a full bar and ends with a half bar & full
bar, then each number in the zip code is converted to a four-digit binary
representation (e.g. 0010 = 2), and there is a separator bar between each
number in the zip code.
Since you are an expert on binary numbers, you take away all the
separators and determine that the zip code is as follows:
1.
Can you determine the zip code from this
clue?
Be sure
to show how you arrived at your answer.
Answer:
Explanation:
Episode 1, Scene #2: In the show, Patty is going to find a ransom
note from whomever stole the puppies.

Episode 2: The Case of the
Noontime Robbery.jpg”>
This week Patty Madeye will be investigating a bank robbery. The Main Street bank was robbed at exactly
noon on Tuesday by either 3 or 4 men.
The group escaped in a getaway car, which has not been recovered.
From the police investigators heres what we will have learned about the
case:
– All the
robbers appeared to be men, although they may have been attempting to disguise
their appearances.
– There
were either 3 or 4 robbers – were not sure due to conflicting eyewitness
accounts.
– The
getaway car was a late-model 4-door sedan that was a dark color (i.e. blue,
black or dark green).
Episode 2, Scene #1: In the first scene of Episode 2, Patty will
be told all the known information by the police investigators who responded to
the emergency call at 12:05pm on Tuesday. This will consist of the separate
eyewitness accounts the police investigators collected as well as police
conjectures.
She likes to record her notes using simple logic statements. Use the following 4 statements to express the
given compound statement given by each eye-witness and the police
investigators:
p: There were 4 bank robbers
q: All the bank robbers were men
r: One robber had a ponytail
s: The getaway car was blue
You may use AND, OR, NOT, XOR, and ARROW instead of the logic symbols
used in the notes, but be sure to use parentheses as needed to represent
precedence. For example, p AND q ARROW r
is not the same thing as p AND (q ARROW r).

4.
One robber had a ponytail or all the bank
robbers were men, but there were 4 bank robbers.
5.
There were 4 bank robbers, but the getaway car
was blue and all the bank robbers were men.
6.
If there were 4 bank robbers and none of the
robbers had a ponytail, then all the bank robbers were men.
Answer:
Evaluation:
7.
If the getaway car was red then none of the
robbers had a ponytail and there were not 4 bank robbers.
Answer:
Explanation:
8.
Either the getaway car was black or none of the
robbers had a ponytail (but not both), and all the bank robbers were men.
Answer:
Explanation:

Episode 2, Scene #2:
9.
The writers cant decide who the leader of the
bank robbers should be. They think that
the leader should either be a female (disguised as a man) or someone with black
hair (but not both), and the leader should also be tall (over 5
10).
Since
you have studied logic, the writers ask you to compose a truth table to figure
out all the combinations of these three characteristics (gender, hair color,
and short/tall). Given these 3 simple
statements, determine the correct compound statement for the condition stated
above, and then determine a truth table for that statement.
p: The
leader is a female
q: The
leader has black hair
r: The
leader is tall (over 5 10)
Complete the table:

Episode 3: The Case of the Caribbean Criminals
This
next episode Patty Madeye is helping the script-writers on a case of
embezzlement at a local law practice, Dewey, Cheatem, and Howe. [Get it?]

Name

Gender

Position

Status

Kelly

Female

Specialist

Married

Andrea

Female

Attorney

Single

Ashley

Female

Associate

Single

Bruce

Male

Attorney-Partner

Married

Serge

Male

Specialist

Married

Karen

Female

Paralegal

Single

Amy

Female

Specialist

Married

Marion

Female

Attorney

Single

James

Male

Attorney-Partner

Married

Janice

Female

Specialist

Married

Lori

Female

Associate

Single

Timothy

Male

Associate

Married

Robert

Male

Attorney-Partner

Single

Marvin

Male

Paralegal

Married

Eric

Male

Attorney-Partner

Single

Stephen

Male

Attorney-Partner

Single

Dana

Female

Associate

Married

Joseph

Male

Associate

Married

Kathleen

Female

Attorney

Single

Carissa

Female

Associate

Single

Don

Male

Specialist

Married

Michael

Male

Attorney-Partner

Married

Anne

Female

Specialist

Single

Scott

Male

Attorney-Partner

Single

William

Male

Associate

Married

John

Male

Attorney

Married

Penny

Female

Associate

Single

Elaine

Female

Specialist

Single

Daniel

Male

Associate

Married

Justin

Male

Attorney

Married

Episode 3, Scene #1: In your first meeting with the writers, they
show you the list of the character sketches for the employees that work at the
law practice.
The writers think that the male embezzler should be one of the partners
of the law firm, indicated in this list by Attorney-Partner. For the female embezzler, they have chosen
someone who is listed as a Specialist.
Specialists are employees of the firm who offer subject-matter expertise
in specific areas such as real estate or accounting.
10. How many
different choices do we have for the male/female team of embezzlers?
[Remember: both members of the
team are married.]
Answer:
Explanation:
11. How
would this answer be different if the 2 members of the male/female team dont
have to be married? In other words, they
could be either single or married.
Answer:
Explanation:
Episode 3, Scene #2: The writers want to include an accomplice in
the story that would be someone else in the firm who knew that the pair was
stealing from the company.
12. If the
accomplice is selected at random from the remaining employees, what is the
probability that the accomplice is male?

Answer:
Explanation:

Episode
4: The Case of the Stolen Chemistry Exam
This episode 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)..jpg”>
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 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}
Episode 4, Scene #1:
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.
13. 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 set-builder
notation and the descriptive notation.
Answer:
Explanation:
Episode 4, Scene #2:
14. 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:

Episode 4, Scene #3:
15.
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) =

Episode
4, Scene #4:
16. Patty
looks at all these clues and does some quick figuring and says Ive 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?
For the first four Units of this course, you have learned several topics
in discrete mathematics including number representations, logical reasoning,
elementary probability, and set theory.
You are now being asked to apply this knowledge to real world situations
by filling the role of a subject-matter expert for an upcoming television
show. The working title for this show is
The Patty Madeye Mysteries. You will
be working with the writers and producers for this exciting show. The staff will need your help in interpreting
and analyzing evidence for robbery, missing persons, and embezzlement cases, as
storylines for the show. The show will
be a cyber-crime series, including a number of episodes where you will be
solving crimes using your mathematics and problem-solving skills. For this Midterm Project, you will help
produce the first four episodes. Each
episode contains 2-4 scenes with questions to answer. There are 16 total questions..jpg”>Episode
1: The Case of the Missing PuppiesEpisode 2: The Case of the Noontime RobberyEpisode 3: The Case of the Caribbean CriminalsEpisode 4: The Case of the Stolen Chemistry ExamThe star of the show is Patty Madeye, shown to the left. Patty is a crack detective with quite a bit
of experience in solving crimes. Based
on your knowledge of mathematics, you will be providing research and background
information that will make the script more interesting. For example, rather than simply finding a
clue with a mailing address on it, Patty will find a portion of an envelope
with a Postnet bar-code on it. You will
show how that bar-code can be interpreted using a binary numeration system to
discover the zip code.Requirements for completing the Project:? Your
project must be submitted as a Microsoft Word document and uploaded to the Unit
4 Dropbox.? Please show your work! You are free to use other tools and utilities
to prepare your work, but all your answers and the work that supports those
answers must be pasted into your Word document.
For instance, if you do a calculation in Excel to determine an answer,
enter both the calculation formula as well as the answer into your document:Answer:
Using Excel: = (90+5) * 45
results in 4275? All of
the problems require not only the answer, but also an explanation. Unless specifically stated, each explanation
should be at minimum 2-3 sentences written in your own words.TYPE YOUR NAME HERE:Episode
1: The Case of the Missing PuppiesThis first episode of Patty Madeye Mysteries is called The Case of
the Missing Puppies..jpg” alt=”shutterstock_12606544″>You have been asked to do research for an episode where Patty will be
challenged to find a trio of stolen puppies, shown to the right. Their names are Moe, Buttercup, and
Fluffy. The owners have been raising the
puppies with the hopes of winning big prizes in this springs season of dog
shows. Patty is asked to help find the
puppies.Episode 1, Scene #1:This Postnet barcode was found on the floor next to where the puppies
were last seen.Patty knows that Postnet (Postal Numeric Encoding Technique) is a
barcoding system used by the United States Postal Service to direct mail. As each piece of mail is processed, a barcode
is printed on the envelope indicating the zip code to which the mail is
addressed. The barcode is made up of
full bars (representing a 1) and half bars (representing a 0) in a pattern that encodes the characters of
the zip-code using a binary representation.
The barcode starts with a full bar and ends with a half bar & full
bar, then each number in the zip code is converted to a four-digit binary
representation (e.g. 0010 = 2), and there is a separator bar between each
number in the zip code.Since you are an expert on binary numbers, you take away all the
separators and determine that the zip code is as follows:1.
Can you determine the zip code from this
clue?Be sure
to show how you arrived at your answer.Answer:Explanation:Episode 1, Scene #2: In the show, Patty is going to find a ransom
note from whomever stole the puppies.

The producers want the ransom note to say:If you
want to see the puppies ever again, save your money now.. but they want the note to be coded using ASCII hexadecimal
representation. The writers want to have
the ransom note appear on a computer screen using either spaces or dashes as
separators between the characters. For
example, Abc would be 41 62 63.
Remember that lower case and upper case letters have different character
codes.2.
Determine what the ransom note should say using
ASCII character codes.
Note: Refer to the Unit 1 Course Notes
for the ASCII Table.Answer:Explanation:Episode 1, Scene #3: Patty Madeye (the heroine of the show) is
pretty handy with Internet sniffers, and in the show, she will be able to
discover the IP address of the source of the e-mail containing the ransom note: 19.99.108.24 (in decimal)The writers want to show off Pattys technical expertise, so they are
going to include a scene where Patty converts the IP address from four 8-digit
binary numbers
(e.g. 11111111.00000000.11111111.00000000) into the above number. Note that each segment of the IP address MUST
be padded out to 8-digits.3.
You need to determine what the 4 binary numbers
that Patty should use to represent the four numbers in the IP address above.Answer:Explanation:Episode 2: The Case of the
Noontime Robbery.jpg”>This week Patty Madeye will be investigating a bank robbery. The Main Street bank was robbed at exactly
noon on Tuesday by either 3 or 4 men.
The group escaped in a getaway car, which has not been recovered.From the police investigators heres what we will have learned about the
case:- All the
robbers appeared to be men, although they may have been attempting to disguise
their appearances.- There
were either 3 or 4 robbers – were not sure due to conflicting eyewitness
accounts.- The
getaway car was a late-model 4-door sedan that was a dark color (i.e. blue,
black or dark green).Episode 2, Scene #1: In the first scene of Episode 2, Patty will
be told all the known information by the police investigators who responded to
the emergency call at 12:05pm on Tuesday. This will consist of the separate
eyewitness accounts the police investigators collected as well as police
conjectures.She likes to record her notes using simple logic statements. Use the following 4 statements to express the
given compound statement given by each eye-witness and the police
investigators:p: There were 4 bank robbersq: All the bank robbers were menr: One robber had a ponytails: The getaway car was blueYou may use AND, OR, NOT, XOR, and ARROW instead of the logic symbols
used in the notes, but be sure to use parentheses as needed to represent
precedence. For example, p AND q ARROW r
is not the same thing as p AND (q ARROW r).
4.
One robber had a ponytail or all the bank
robbers were men, but there were 4 bank robbers.5.
There were 4 bank robbers, but the getaway car
was blue and all the bank robbers were men.6.
If there were 4 bank robbers and none of the
robbers had a ponytail, then all the bank robbers were men.Answer:Evaluation:7.
If the getaway car was red then none of the
robbers had a ponytail and there were not 4 bank robbers.Answer:Explanation:8.
Either the getaway car was black or none of the
robbers had a ponytail (but not both), and all the bank robbers were men.Answer:Explanation:Episode 2, Scene #2:9.
The writers cant decide who the leader of the
bank robbers should be. They think that
the leader should either be a female (disguised as a man) or someone with black
hair (but not both), and the leader should also be tall (over 5
10).Since
you have studied logic, the writers ask you to compose a truth table to figure
out all the combinations of these three characteristics (gender, hair color,
and short/tall). Given these 3 simple
statements, determine the correct compound statement for the condition stated
above, and then determine a truth table for that statement.p: The
leader is a femaleq: The
leader has black hairr: The
leader is tall (over 5 10)Complete the table:pqrTTTTTFTFTTFFFTTFTFFFTFFFEpisode 3: The Case of the Caribbean CriminalsThis
next episode Patty Madeye is helping the script-writers on a case of
embezzlement at a local law practice, Dewey, Cheatem, and Howe. [Get it?]

The characters of the Patty Madeye Mysteries will be investigating a
case of embezzlement planned and executed by a team of 2 people who work at the
law firm. The story goes that the
male/female pair of criminals is both married (to other people) but is involved
in a love affair with each other. They
have stolen over $2 million in funds from company accounts and have disappeared
to somewhere in the Caribbean. .jpg” alt=”shutterstock_12763516″>Your job will be to use your knowledge of probability and counting
methods to help the writers identify possible candidates to be written into the
script.NameGenderPositionStatusKellyFemaleSpecialistMarriedAndreaFemaleAttorneySingleAshleyFemaleAssociateSingleBruceMaleAttorney-PartnerMarriedSergeMaleSpecialistMarriedKarenFemaleParalegalSingleAmyFemaleSpecialistMarriedMarionFemaleAttorneySingleJamesMaleAttorney-PartnerMarriedJaniceFemaleSpecialistMarriedLoriFemaleAssociateSingleTimothyMaleAssociateMarriedRobertMaleAttorney-PartnerSingleMarvinMaleParalegalMarriedEricMaleAttorney-PartnerSingleStephenMaleAttorney-PartnerSingleDanaFemaleAssociateMarriedJosephMaleAssociateMarriedKathleenFemaleAttorneySingleCarissaFemaleAssociateSingleDonMaleSpecialistMarriedMichaelMaleAttorney-PartnerMarriedAnneFemaleSpecialistSingleScottMaleAttorney-PartnerSingleWilliamMaleAssociateMarriedJohnMaleAttorneyMarriedPennyFemaleAssociateSingleElaineFemaleSpecialistSingleDanielMaleAssociateMarriedJustinMaleAttorneyMarriedEpisode 3, Scene #1: In your first meeting with the writers, they
show you the list of the character sketches for the employees that work at the
law practice.The writers think that the male embezzler should be one of the partners
of the law firm, indicated in this list by Attorney-Partner. For the female embezzler, they have chosen
someone who is listed as a Specialist.
Specialists are employees of the firm who offer subject-matter expertise
in specific areas such as real estate or accounting.10. How many
different choices do we have for the male/female team of embezzlers?[Remember: both members of the
team are married.]Answer:Explanation:11. How
would this answer be different if the 2 members of the male/female team dont
have to be married? In other words, they
could be either single or married.Answer:Explanation:Episode 3, Scene #2: The writers want to include an accomplice in
the story that would be someone else in the firm who knew that the pair was
stealing from the company.12. If the
accomplice is selected at random from the remaining employees, what is the
probability that the accomplice is male?
Answer:Explanation:Episode
4: The Case of the Stolen Chemistry ExamThis episode 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)..jpg”>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 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}Episode 4, Scene #1: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.13. 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 set-builder
notation and the descriptive notation.Answer:Explanation:Episode 4, Scene #2:14. 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:Episode 4, Scene #3:15.
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 answerExplain your answer in this columnn(C) =n(P) =n(V) =n(C ? P) =n(C ? V) =n(V ? P) =n(C U P) =n((C U P) U V) =Episode
4, Scene #4:16. Patty
looks at all these clues and does some quick figuring and says Ive 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?

For the first four Units of this course, you have learned several topics in disc

For the first four Units of this course, you have learned several topics in disc

Recent Posts

Recent Comments

Archives

Categories

Meta

Wait, Just Before You Go!

We have a special offer for you if you order your first custom essay from us now!