What is the probability that we see the first white ball at the fifth draw? What is the probability that we see no red balls in the first 4 draws? What is the probability that we see 2 red balls in the first four draws?

Probability

  • (10 points) Question #1. Consider a random experiment where two fair six-sided dice are thrown.
  • (a) (5 points) Define the sample space of this experiment. How many outcomes are possible?
  • (b) (5 points) Show all the outcomes in the event ”the sum of both dice is 6”. What is the probability of this outcome?

 

(10 points) Question #2. A computer manufacturer receives 140 microchips from factory A, 160 microchips from factory B and 200 microchips from factory C. The chips have identical designs, but factory A produces chips with a failure rate of 0.003, while factory B produces chips with a failure rate of 0.002, and factory C produces chips with a failure rate of 0.009.

  • (a) (5 points) If the computer manufacturer chooses a chip at random, what is the probability that it fails?
  • (b) (5 points) What is the conditional probability that a chip selected at random was made by factory C, given that it failed?

 

(10 points) Question #3. Suppose an urn contains 5 red balls, 3 white balls, and 2 yellow balls. We draw a ball from the urn at random, write down its color and return the ball to urn. We repeat this process infinitely.

  • (a) (2 points) What is the probability that we see the first white ball at the fifth draw?
  • (b) (2 points) What is the probability that we see no red balls in the first 4 draws?
  • (c) (3 points) What is the probability that we see 2 red balls in the first four draws?
  • (d) (3 points) What is the probability that we see exactly 3 white balls and 3 yellow balls in the first 10 draws?

(10 points) Question #4. Cars cross an intersection in the city at a rate of 5 per minute. The number of cars passing the intersection X can be modeled as a Poisson random variable with parameter 5t: P (X = k) = e−5t · (5t)k k!

  • (a) (5 points) What is the probability that only one car crosses the intersection after 1 minute? (You may write the answer in terms of e)
  • (b) (5 points) What is the probability that three or more cars cross the intersection
  • (P [X ≥ 3]) as a function of t?

(10 points) Question #5. A random variable X has the probability density function: f (x) =( cx3, x ∈ [0, 4] 0, elsewhere

  • (a) (5 points) Find the value of c.
  • (b) (5 points) Find the probability P [1 < X < 2].

(10 points) # Bonus Question. A coin with sides marked 0 and 1 is tossed an infinite number of times with the probability of 1 being p ∈ (0, 1). Let the resulting infinite sequence ω be parsed into blocks of length 10100. What is the probability that in infinitely many of these blocks, every term in the block of length 10100 is 1?

 

Write a fact that you think is interesting and/or important from the text. Write a specific question that you have about your fact. Write your answer or response to your question.

FQR

Remember the format for Journals is always: FQR.

F is for Fact: write a fact that you think is interesting and/or important from the text.

Q is for Question: write a specific question that you have about your fact.

R is for Response or Reaction: write your answer or response to your question.

FQR’s should be connected to each other. You should focus them on what you think is most important to the chapter and fits the objectives so that you are creating your own study guide that you can use to prepare for the exam/reflection paper. You should also include the page number in the textbook where you found the fact.

Differentiate between the different types of cryptographic algorithms.

Differentiate between the different types of cryptographic algorithms.

Differentiate between the different types of cryptographic algorithms.

Discuss some effective strategies for Information Security Awareness on AirBnb and what you would like to see implemented to ensure users are aware and held accountable for Information Security.

Information Security Awareness

Discuss some effective strategies for Information Security Awareness on AirBnb and what you would like to see implemented to ensure users are aware and held accountable for Information Security. Cite attached resources and 2 additional ones.

Rubric for this discussion assignment:
• Synthesis of Concept
• Applications/Reflections of Personal Experience
• Clear Citations
• Writing Standards

Prepare a 2 page essay (not including title or reference page) paper on threats to information security.

Threats to Information Security

Prepare a 2 page essay (not including title or reference page) paper on threats to information security.

Paper organization will include:

Introduction.
Problem Statement.
Relevance and Significance.
References (at least five).

Write an essay on positive and negative impacts of COVID-19 on Batswana and the ways in which the government mitigated the problems.

Impacts of COVID-19 on Batswana

Write an essay on positive and negative impacts of COVID-19 on Batswana and the ways in which the government mitigated the problems.

 

Summarize the excavations that have taken place at the site, including field seasons/dates and information about the archaeologists who have studied the site. Describe the methods used at the site and theories about the site proposed by the excavators and other archaeologists.

Public Archaeology Project

Instructions
The Public Archaeology Presentation invites you to evaluate the public archaeology outreach of a site such as an archaeological excavation that is open to the public, an outdoor museum that is hosting or has hosted archaeological excavations, a museum with archaeological collections, etc.* Using the insight you have gained in this course about important topics in archaeology such as archaeological method and theory, subsistence, cultural patterns in prehistory, and environmental interaction, evaluate the ways in which, at the site you have chosen, the knowledge gained from archaeological excavations is being used, or is not being used, to highlight and address issues in the local, regional, or global communities. For example, current issues often addressed in public archaeology include historic preservation, economic growth, environmental degradation, looting, STEM (Science, Technology, Engineering, Math) education, volunteer opportunities, and more. You will present your findings to your classmates in the Week 8 Public Archaeology discussion in the form of a multimedia presentation.

*For those who are not able to travel within/around their community, whether this is due to military, medical, or other reasons, see the Alternative Public Archaeology Presentation instructions at the end of this Project Description.

There are many sites that offer a chance for the public to interact with archaeology. These include, but are not limited to:

an archaeological excavation open to the public,
an archaeology museum (e.g. a museum that maintains at least some collections resulting from archaeological excavations)
an open air museum where archaeological excavations have been conducted and which are explained on site through markers/exhibits or docents/tour guides.
Any of the sites listed above are ideal for this project. If you are considering a site and are unsure whether it would be suitable for the Public Archaeology Presentation, discuss the site with your instructor. If you are having trouble locating archaeological excavations or museums in your area, check with your local Chamber of Commerce or Tourism Bureau or the Anthropology department/professor at the nearest college or university. Some small sites have limited funding and are not able to advertise extensively.

Guidelines

By the end of Week 5, you must submit your proposed site to your instructor. Once your instructor has approved your proposal, you may proceed with the project.
Your assignment will take the form of a multimedia presentation, such as a YouTube video, blog, PowerPoint presentation, etc. Ideally, your presentation will include audio, but if this is not possible, your presentation must include sufficient text to explain your findings and conclusions.
By Wednesday of Week 8, you will submit a short introduction and a link to your presentation in a designated discussion area AND in the Assignments Folder (this allows me to provide you with private feedback and a grade). Your presentation must be shared online, but you may choose how to do so. There are many free tools out there.
Speak and/or write professionally using standard English. If speaking, pay attention to correct grammar and enunciation. If writing, check your spelling and grammar carefully. Poor grammar, spelling, and/or enunciation may affect your grade.
Your presentation must include a written References section in proper citation format detailing the sources you used.
Initial Research

Once you have chosen a site and your instructor has approved it, conduct research using the UMGC Library databases, the internet, and other sources (nearby public libraries, local historical societies, local archaeological societies, etc.) to obtain more information about the site you have chosen. You must use and cite at least three scholarly sources in your presentation.

Presentation

Your multimedia presentation should include the following sections:

1) Introduction

Introduce the site you have chosen (or the original site of the artifact collection), including such information as the region in which the site is located, the time period it belongs to, the people who lived there, and the type of site (village, city, sacramental site, shipwreck, hunting camp, etc.).

2) Method and Theory

Summarize the excavations that have taken place at the site, including field seasons/dates and information about the archaeologists who have studied the site. Note their affiliations (e.g. who do they work for?). Describe the methods used at the site (excavation, remote sensing, etc.) and theories about the site proposed by the excavators and other archaeologists.

3) Public Outreach

Discuss the insights gained through excavation. What significant artifacts (including structures and features) have been located? Were any of these artifacts, structures, or features on display, including as reconstructions either on or off site? What kinds of markers or signage described the excavations or artifacts? Were there suggestions on how to learn more?

4) Important Issues

Did the public outreach at the site relate the archaeological insights to any local, regional, or global issues? If so, discuss the issues and the ways in which archaeology is or could be applied to address the issues, as according to the public outreach of the site. If not, discuss how you think public outreach based on the archaeology of your site or the museum’s artifact collection could be used to address current issues. As described above, public archaeology focuses on many issues, such as looting and treasure hunting, the safeguarding of archaeological and historic sites for the future, archaeology tourism and other activities that boost the local economy, climate change in the past and present, volunteer opportunities and continuing education, environmental changes caused by humans (deforestation, overfishing), and educational opportunities offered through archaeological research (especially the STEM fields).

5) Conclusions

Assess the public outreach at the site or museum you chose, highlighting both the pros and cons. Offer suggestions for improvement. Discuss any ideas or approaches that you feel worked well in bringing archaeology to the public and relating archaeology to current issues in the wider world.

6) References

Provide a written list of all references used for your presentation in alphabetical order by last name of author or primary author.

Alternative Public Archaeology Project

If you are unable to visit a local site which features public archaeology outreach, whether this is due to military, medical, or other reasons, you can complete the Alternative Public Archaeology Project. Be sure to notify your instructor right away of your need to complete the Alternative project and, as above, make sure your instructor approves your project before proceeding. Failure to do so may result in a failing grade for not correctly completing the assigned project.

How should a project manager gain buy-in from stakeholders? What techniques should a project manager use to obtain this buy-in?

Information Technology

How should a project manager gain buy-in from stakeholders? What techniques should a project manager use to obtain this buy-in?

The assignment is to answer the question provided above in essay form. This is to be in narrative form and should be as thorough as possible. Bullet points should not to be used. The paper should be at least 1.5 – 2 pages in length, Times New Roman 12-pt font, double-spaced, 1 inch margins and utilizing at least five outside scholarly or professional source related to competitive strategy. The textbook should also be utilized. Do not insert excess line spacing. APA formatting and citation should be used.

 

Describe methods for determining if user frustration is caused by poor system design or from the natural frustration associated with learning a new software product.

Information Technology

The quality of the user experience is very important to the success of an application. In the early days of computing, users often experienced long delays since computing power was poor and networks had comparatively slow throughput. Modern systems have largely eliminated these delays due to increased network and computing power, yet users still report a high level of frustration.

Write a four to five (4-5) page paper in which you:

  1. Describe three (3) reasons users are still frustrated with modern applications.
  2. Suggest one (1) method for reducing the frustrations for each of the reasons you supplied in Question one (1).
  3. Describe methods for determining if user frustration is caused by poor system design or from the natural frustration associated with learning a new software product.
  4. Suggest at least three (3) methods to reduce the frustrations among the disabled population and how this population can be better served.
  5. Use at least three (3) quality resources in this assignment.

Note: Wikipedia and similar Websites do not qualify as quality resources.

 

Explain how IQ scores are related to success in school and college, to one’s job, and to other endeavors, such as art, music, writing, dramatics, science, and leadership.

Intelligence Tests

Write a 1-2 page essay that distinguishes between individual and group intelligence tests, regarding the abilities assessed and the advantages and disadvantages of each type; discuss the first group intelligence test, including why it was developed, the skills assessed, and sample test items.

Explain how IQ scores are related to success in school and college, to one’s job, and to other endeavors, such as art, music, writing, dramatics, science, and leadership. Proper APA formatting is a requirement for all essay assignments. Cite at least three educational sources (one source may include the course textbook) in the essay.