MAT540 Homework Week 3 Page 1 of 3 MAT540 Week 3 Homework Chapter 14 1. The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according to the following probability distribution. The squad is on duty 24 hours per day, 7 days per week: Time Between Emergency Calls (hr.) Probability 1 0.15 2 0.10 3 0.20 4 0.25 5 0.20 6 0.10 1.00 a. Simulate the emergency calls for 3 days (note that this will require a “running” , or cumulative, hourly clock), using the random number table. b. Compute the average time between calls and compare this value with the expected value of the time between calls from the probability distribution. Why are the result different? 2. The time between arrivals of cars at the Petroco Services Station is defined by the following probability distribution: Time Between Emergency Calls (hr.) Probability 1 0.35 2 0.25 3 0.20 4 0.20 1.00 MAT540 Homework Week 3 Page 2 of 3 a. Simulate the arrival of cars at the service station for 20 arrivals and compute the average time between arrivals. b. Simulate the arrival of cars at the service station for 1 hour, using a different stream of random numbers from those used in (a) and compute the average time between arrivals. c. Compare the results obtained in (a) and (b). 3. The Dynaco Manufacturing Company produces a product in a process consisting of operations of five machines. The probability distribution of the number of machines that will break down in a week follows: Machine Breakdowns Per Week Probability 0 0.10 1 0.20 2 0.15 3 0.30 4 0.15 5 0.10 1.00 a. Simulate the machine breakdowns per week for 20 weeks. b. Compute the average number of machines that will break down per week. 4. Simulate the following decision situation for 20 weeks, and recommend the best decision. A concessions manager at the Tech versus A&M football game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather forecast in college junction, where the game is to be held. The manager estimates that the following profits will result from each decision, given each set of weather conditions: MAT540 Homework Week 3 Page 3 of 3 Decision Weather Conditions Rain 0.35 Overcast 0.25 Sunshine 0.40 Sun visors $-400 $-200 $1,500 Umbrellas 2,100 0 -800 5. Every time a machine breaks down at the Dynaco Manufacturing Company (Problem 3), either 1, 2, or 3 hours are required to fix it, according to the following probability distribution: Repair Time (hr.) Probability 1 0.20 2 0.50 3 0.30 1.00 Simulate the repair time for 20 weeks and then compute the average weekly repair time. Järv, O., Ahas, R., Saluveer, E., Derudder, B., & Witlox, F. (2012). Mobile phones in a traffic flow: a geograph ...

1. MAT540 Homework
Week 3
Page 1 of 3
MAT540
Week 3 Homework
Chapter 14
1. The Hoylake Rescue Squad receives an emergency call every
1, 2, 3, 4, 5, or 6 hours, according to
the following probability distribution. The squad is on duty 24
hours per day, 7 days per week:
Time Between
Emergency Calls (hr.)
Probability
1 0.15
2 0.10
3 0.20
4 0.25
5 0.20

2. 6 0.10
1.00
a. Simulate the emergency calls for 3 days (note that this will
require a “running” , or cumulative,
hourly clock), using the random number table.
b. Compute the average time between calls and compare this
value with the expected value of the
time between calls from the probability distribution. Why are
the result different?
2. The time between arrivals of cars at the Petroco Services
Station is defined by the following
probability distribution:
Time Between
Emergency Calls (hr.)
Probability
1 0.35
2 0.25
3 0.20
4 0.20
1.00

3. MAT540 Homework
Week 3
Page 2 of 3
a. Simulate the arrival of cars at the service station for 20
arrivals and compute the average time
between arrivals.
b. Simulate the arrival of cars at the service station for 1 hour,
using a different stream of random
numbers from those used in (a) and compute the average time
between arrivals.
c. Compare the results obtained in (a) and (b).
3. The Dynaco Manufacturing Company produces a product in a
process consisting of operations of
five machines. The probability distribution of the number of
machines that will break down in a
week follows:
Machine Breakdowns
Per Week
Probability

4. 0 0.10
1 0.20
2 0.15
3 0.30
4 0.15
5 0.10
1.00
a. Simulate the machine breakdowns per week for 20 weeks.
b. Compute the average number of machines that will break
down per week.
4. Simulate the following decision situation for 20 weeks, and
recommend the best decision.
A concessions manager at the Tech versus A&M football game
must decide whether to have the
vendors sell sun visors or umbrellas. There is a 30% chance of
rain, a 15% chance of overcast skies,
and a 55% chance of sunshine, according to the weather forecast
in college junction, where the
game is to be held. The manager estimates that the following
profits will result from each decision,

5. given each set of weather conditions:
MAT540 Homework
Week 3
Page 3 of 3
Decision Weather Conditions
Rain
0.35
Overcast
0.25
Sunshine
0.40
Sun visors $-400 $-200 $1,500
Umbrellas 2,100 0 -800
5. Every time a machine breaks down at the Dynaco
Manufacturing Company (Problem 3), either 1, 2,

6. or 3 hours are required to fix it, according to the following
probability distribution:
Repair Time (hr.) Probability
1 0.20
2 0.50
3 0.30
1.00
Simulate the repair time for 20 weeks and then compute the
average weekly repair time.
Järv, O., Ahas, R., Saluveer, E., Derudder, B., & Witlox, F.
(2012). Mobile phones in a traffic flow: a geographical
perspective to evening rush hour traffic analysis using call
detail records. Plos One, 7(11), e49171.
doi:10.1371/journal.pone.0049171
Excessive land use and suburbanisation around densely
populated urban areas has gone hand in hand with a growth in
overall transportation and discussions about causality of traffic
congestions. The objective of this paper is to gain new insight
regarding the composition of traffic flows, and to reveal how
and to what extent suburbanites' travelling affects rush hour
traffic. We put forward an alternative methodological approach
using call detail records of mobile phones to assess the
composition of traffic flows during the evening rush hour in
Tallinn, Estonia. We found that daily commuting and

7. suburbanites influence transportation demand by amplifying the
evening rush hour traffic, although daily commuting trips
comprises only 31% of all movement at that time. The
geography of the Friday evening rush hour is distinctive from
other working days, presumably in connection with domestic
tourism and leisure time activities. This suggests that the rise of
the overall mobility of individuals due to societal changes may
play a greater role in evening rush hour traffic conditions than
does the impact of suburbanisation.
CELL PHONES. (cover story). (2005). Consumer Reports,
70(2), 21.
Presents ratings and buying tips for cellular phones. Importance
of buying based on the quality of voice calls rather than on
extra features such as cameras; Advantages and disadvantages
of the two main cell phone styles, folding and rectangular;
Description of common features such as custom ring tones, text
messaging, web browsing, instant messaging, and built-in
cameras; Ratings for the top cellular phones for Verizon, Sprint,
and Cingular wireless service, including phones by LG,
Samsung, Motorola, and others

8. Ali, A. I. (2013). ETIQUETTE, E-ETIQUETTE AND CELL
PHONE USE IN THE CLASSROOM. Issues In Information
Systems, 14(2), 452.
The use of cell phone has brought many advantages to the
society at large. It simplified communications and made it
possible to send/receive calls from virtually anywhere or at any
time. However, with the use of cell phone, a number of
disadvantages have emerged. One of which is the use of cell
phone in places that are deemed unacceptable or inappropriate.
Among the places that are deemed inappropriate is the
classroom. To many, using cell phones in the classroom while a
lecture is going on is considered distracting, rude, offensive or
just simply inappropriate. Initial efforts to deal with cell phone
use in the classroom focused on banning their use all together.
Subsequent surge in the use of cell phones made this proposal
impractical and often impossible to enforce. Advances in the
technology added more capabilities to cell phones and some
experts are advocating using them in the classroom for
educational purposes. The author's opinion is that while
disbanding the use of cell phone in the classroom is impractical;
a better approach is to teach the students the etiquette of using
cell phone in the classroom. This paper elaborates on the idea of
teaching the etiquette of using cell phones in the classroom.
[ABSTRACT FROM AUTHOR]

9. Copyright of Issues in Information Systems is the property of
International Association for Computer Information Systems
and its content may not be copied or emailed to multiple sites or
posted to a listserv without the copyright holder's express
written permission. However, users may print, download, or
email articles for individual use. This abstract may be abridged.
No warranty is given about the accuracy of the copy. Users
should refer to the original published version of the material for
the full abstract. (Copyright applies to all Abstracts.)
Corral, L., Janes, A., & Remencius, T. (2012). Potential
Advantages and Disadvantages of Multiplatform Development
Frameworks–A Vision on Mobile Environments. Procedia
Computer Science, 10(2), 1202.
doi:10.1016/j.procs.2012.06.173
Abstract: In this paper, we present a position on potential
advantages and disadvantages that may rise after the utilization
of multiplatform frameworks for creating mobile applications.
Mobile frameworks evolve to offer solutions that allow to
simplify the development process in order to achieve products
that can be deployed in different mobile operating systems.
Based on the experience of the large success of web
applications in desktop computing, a similar paradigm shift
from target-specific to cross-platform applications could be
foreseen in the mobile software industry. Development and
marketing practices should understand this philosophy, learn
from similar experiences and identify its advantages and
disadvantages, to exploit the potential of the opportunities and
anticipate to the challenges that changing a development
paradigm brings forth. Our objective is to promote discussion

10. by introducing a series of questions to understand how the use
of target-agnostic products may shift the mobile application
outlook. [Copyright &y& Elsevier]
Baron, N. S., & Af Segerstad, Y. H. (2010). Cross-cultural
patterns in mobile-phone use: public space and reachability in
Sweden, the USA and Japan. New Media & Society, 12(1), 13-
34. doi:10.1177/1461444809355111
Contemporary mobile-phone technology is becoming
increasingly similar around the world. However, cultural
differences between countries may also shape mobile-phone
practices. This study examines a group of variables connected
to mobile-phone use among university students in Sweden, the
USA and Japan. Key cultural issues addressed are attitudes
towards quiet in public space, personal use of public space and
tolerance of self-expression. Measures include the
appropriateness of using mobiles in various social contexts and
judgments of what respondents like most and like least about
having a mobile phone. Analysis revealed a number of
culturally associated differences, as well as a shared conflicting
attitude towards the advantages and disadvantages of
reachability by mobile phone. [ABSTRACT FROM AUTHOR]
LEAP Level 4 Reading and Writing Summer 2015Research
Essay
Choose a topic related to the chapters we’ve been discussing
during the semester, the human impact and resources and

11. development. You may wish to develop a research essay based
on one of the presentations or short essays you have already
completed. This is also a good chance to practice writing in
your major.
Once you have chosen the topic, decide what genre would best
suit your work. You can choose argument, compare/contrast,
narrative, or informative/expository. This is a good chance to
find out what genres of writing are most expected in your major
and prepare for the challenge.
This is your chance to explore different genres, in other words,
how you choose to present your ideas. Making good choices
will be one of the most important steps for success in this essay
and your future research.
Essay guidelines:
· Introduce the topic: main idea, context, and why it is
important
· State your topic focus: (thesis sentence)
· Provide support for your thesis using research sources
· Use research from library sources, engaging details and clear
descriptions
· Use appropriate tone (academic language and style)
· You may use a reading from Pathways for one of your sources;
use library the library database for the others
· APA format, at least 4 sources, in-text citations and
References page (APA style focuses on information. Write in
3rd person (avoid using I, you, and we)
· 5-8 pages
· Submit to Dropbox
Assessment Rubric for Research Essay
5 = Excellent; 4 = Good; 3 = Fair; 2 = Weak; 1=poor/missing
1
2

12. 3
4
5
introduction describes the issue and tells why it is important
clear thesis sentence/topic focus
supporting paragraphs explain your thesis
4-6 appropriate research sources; from Pathways
(1 source) and library materials (3 sources)
appropriate conclusion

13. appropriate tone (academic language and style)
essay is organized, focused, and developed with appropriate
grammar and vocabulary
5-8 pages, typed, APA format, at least 4 sources, in-text
citations and References page
Total Points = 40
Comments:
1
Annotated Bibliography and Rubric
Writing an annotated bibliography helps prepare your research
for your essay and can serve as a first draft for your research
essay.

14. This assignment increases your skill in finding and
incorporating appropriate research sources for academic and
professional research writing.
Process
1. Using the WSU Library page and the World Wide Web,
identify 5 research sources you can use for Essay 2. NOTE: can
use, not must or have to.
2. Brainstorm ideas based on topics we’ve been discussing in
class and on your research interest.
Search the internet to find resources that can be used for an
essay topic/s.
3. Find the sources that are appropriate for academic research,
one each in these 5 genres:
· academic journal article
· video
· newspaper article
· book chapter
· infographic or other chart/graphic
If you choose to use a different type of source, you can
exchange for one of the above. (for example, dissertation or
technical paper)
List the sources in alphabetical order using APA format and
citations.
For each of the sources, write a one-paragraph summary of each
item in the bibliography (4-6 sentences) and describe how you
might use them
in your essay.

15. Rubric is on page 2.
Annotated Bibliography: Rubric
Good
4
Fair
2-3
Poor
1
Missing
0
Includes 5 or more sources
Sources include one in each genre (journal article, video,
newspaper, book chapter, infographic
Presents complete citation information
Citation follows correct APA format
Annotation describes the work concisely

16. Evaluation discusses the work’s suitability for your purpose
Entries are consistent—all follow the same format
Sentences are complete, correct, clear
Bibliography is carefully proofread and error free
Total = _____/36
Comments:
P1Hoylake Rescue SquadProbability of Time between
callsSimulationP(x)Cumulative (lower bound)Time between
callssimulation NumberRNTime between callsCumulative
clock0.15110.1220.2330.25440.2550.166178EV = 9Average
Time =1011121314151617181920

17. P2Petroco serviceSimulationProbability CumulativeTime
between arrival (min)0.351CountsRNTime between
callsRNTime between callsCumulative
clock0.25210.2320.243145a. Avg Arrival time6b. Avg. arrival
time78Compare a. and b.91011121314151617181920
P3Dynaco ManufacturingProbability breakdown per
weekSimulationP(x)CumulativeBreakdownWeekRNBreakdowns
0.1010.2120.15230.3340.15450.1561789Simulated avg.
breakdown10Average breakdowns =11121314151617181920
P4Sun Visor or Umbrella?SimulationP(x)CumulativeSun
VisorWeekRNSunVisor ($)RNUmbrella ($)0.35-40010.25-
20020.4150031456P(x)CumulativeUmbrella70.35210080.25090.
4-80010111121314151617181920Average
P5Dynaco ManufacturingTable from P3Repair
TimeSimulationBreakdownP(x)CumulativeRepair
(hrs)WeekRNBreakdown #RNRepair time/breakdownRepair
Time/weekP(x)CumulativeBreakdown0.21100.100.52200.210.33
300.1521400.33500.154600.15Simulated avg. repair
time708090Theoretically
calculated100110120130140150160170180190200Average
repair time