## Statistics Homework

Textbook #1: Lane et al.      Introduction to Statistics, David M. Lane et al., 2013.
http://onlinestatbook.com/Online_Statistics_Education.pdf

Textbook #2:Illowsky et al  Introductory Statistics, Barbara Illowsky et al., 2013.

Lane – Chapter 5: 7,25,27

7. You flip a coin three times.

(a) What is the probability of getting heads on only one of your flips?

(b) What is the probability of getting heads on at least one flip?

25. You are to participate in an exam for which you had no chance to study, and for that reason cannot do anything but guess for each question (all questions being of the multiple choice type, so the chance of guessing the correct answer for each question is 1/d, d being the number of options (distractors) per question; so in case of a 4-choice question, your guess chance is ¼ = 0.25. Your instructor offers you the opportunity to choose amongst the following exam formats:

I. 6 questions of the 4-choice type; you pass when 5 or more answers are correct;

II. 5 questions of the 5-choice type; you pass when 4 or more answers are correct;

III. 4 questions of the 10-choice type; you pass when 3 or more answers are correct.

Rank the three exam formats according to their attractiveness. It should be clear that the format with the highest probability to pass is the most attractive format. Which would you choose and why?
HINT:  Use the Binomial Probability function

27. A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos.

a. Imagine you stick your hand in this refrigerator and pull out a piece of fruit at random. What is the probability that you will pull out a pear?

b. Imagine now that you put your hand in the refrigerator and pull out a piece of fruit. You decide you do not want to eat that fruit so you put it back into the refrigerator and pull out another piece of fruit. What is the probability that the first piece of fruit you pull out is a banana and the second piece you pull out is an apple?

c. What is the probability that you stick your hand in the refrigerator one time and pull out a mango or an orange?

Illowsky – Chapter 3 (86,98,112,124) and Chapter 4 (72,80,88)

86. Roll two fair dice. Each die has six faces.

a. List the sample space.

b. Let A be the event that either a three or four is rolled first, followed by an even number. Find P(A).

c. Let B be the event that the sum of the two rolls is at most seven. Find P(B).

d. In words, explain what “P(A|B)” represents. Find P(A|B).

e. Are A and B mutually exclusive events? Explain your answer in one to three complete sentences, including numerical justification.

f. Are A and B independent events? Explain your answer in one to three complete sentences, including numerical justification.

98.  At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% of courses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course requires a research paper.

a. Find the probability that a course has a final exam or a research project.

b. Find the probability that a course has NEITHER of these two requirements.

112. The table identifies a group of children by one of four hair colors, and by type of hair.

a. Complete the table.

b. What is the probability that a randomly selected child will have wavy hair?

c. What is the probability that a randomly selected child will have either brown or blond hair?

d. What is the probability that a randomly selected child will have wavy brown hair?

e. What is the probability that a randomly selected child will have red hair, given that he or she has straight hair?

f. If B is the event of a child having brown hair, find the probability of the complement of B.

g. In words, what does the complement of B represent?

124. Suppose that 10,000 U.S. licensed drivers are randomly selected.

a. How many would you expect to be male?

b. Using the table or tree diagram, construct a contingency table of gender versus age group.

c. Using the contingency table, find the probability that out of the age 20–64 group, a randomly selected driver is female.

72. You buy a lottery ticket to a lottery that costs \$10 per ticket. There are only 100 tickets available to be sold in this lottery. In this lottery there are one \$500 prize, two \$100 prizes, and four \$25 prizes. Find your expected gain or loss.

80. Florida State University has 14 statistics classes scheduled for its Summer 2013 term. One class has space available for 30 students, eight classes have space for 60 students, one class has space for 70 students, and four classes have space for 100 students.

a. What is the average class size assuming each class is filled to capacity?

b. Space is available for 980 students. Suppose that each class is filled to capacity and select a statistics student at random. Let the random variable X equal the size of the student’s class. Define the PDF for X.

c. Find the mean of X.

d. Find the standard deviation of X.

88. A school newspaper reporter decides to randomly survey 12 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 18% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many of the 12 students do we expect to attend the festivities?

e. Find the probability that at most four students will attend.

f. Find the probability that more than two students will attend.

## Physics Homework Help

Experiment 1: Newton’s First Law

Procedure Question:

Record your observations for each type of motion from Step 4 in the space below. Comment on where the water tended to move. If the water spilled, note which side it spilled from.

Questions:

Explain how your observations of the water demonstrate Newton’s law of inertia.

Draw a free body diagram of your box of water from the situation in Procedure 4d. Draw arrows for the force of gravity, the normal force (your hand pushing up on the box), and the stopping force (your hand decelerating the box as you stop.) What is the direction of the water’s acceleration?

*Note, free body diagrams are discussed in depth in Lab 2: Types of Forces. See Figure 3 for a sample diagram. Remember, the object is usually indicated as a box, and each force that acts upon the box is indicated with an arrow. The size of the arrow indicates the magnitude of the force, and the direction of the arrow indicates the direction which the force is acting. Each arrow should be labeled to identify the type of force. Note, not all objects have four forces acting upon them.

Ffriction

Fapp

Fnormal

Fgravity

Figure 3

Figure 3: Sample FBD

Can you think of an instance when you are driving or riding in a car that is similar to this experiment? Describe two instances where you feel forces in a car in terms of inertia.

Experiment 2: Unbalanced Forces – Newton’s Second Law

Table 1: Motion Data for Experiment 2

 Trial M1 M2 d of M2 Time (s) Calculated Acceleration Procedure 1 1 2 3 4 5 Average Procedure 2 1 2 3 4 5 Average

Questions:

When you give one set of washers a downward push, does it move as easily as the other set? Does it stop before it reaches the floor? How do you explain this behavior?

Draw a FBD for M1 and M2 in each procedure (Procedure 1 and Procedure 2). Draw force arrows for the force due to gravity acting on both masses (Fg1 and Fg2), and the force of tension (FT). Also draw arrows indication the direction of acceleration, a.

Experiment 3: Newton’s Third Law

Questions:

Explain what caused the balloon to move in terms of Newton’s Third Law.

What is the force pair in this experiment? Draw a Free Body Diagram (FBD) to represent the (unbalanced) forces on the balloon/straw combination.

Add some mass to the straw by taping some metal washers to the bottom and repeat the experiment. How does this change the motion of the assembly? How does this change the FBD?

If the recoil of the rifle has the same magnitude force on the shooter as the rifle has on the bullet, why does the shooter not fly backwards with a high velocity?

## Language Development Face-to-Face

Application: Language Development Face-to-Face

Part 1: Observing an Infant or Toddler Interacting with an Important Adult

The goal of this assignment is to apply what you have learned about one stage of language development (prelinguistic, phonological, or semantic) and how important adults can foster language development during that stage. You will observe an infant or toddler and his or her interaction with the adult. After the observation, you will interview the adult about the child’s language in this stage of development.

To complete the assignment:

Plan: Choose an infant or toddler and an important adult (parent or other caregiver) to observe in a comfortable setting, preferably the child’s home. Here are tips for planning the observation:

• As outlined in Week 1, explain to the adult the purpose of the observation and how the information you gather will be used. Obtain permission to tape-record interactions between the child and adult and the post-observation interview with the adult. Set a time and date for the observation.
• Review information from this week’s readings, including the charts and other specific checkpoints on the different stages of development provided in the Week 2 Online Reading about the stage of development of the child you plan to observe (prelinguistic, phonological, or semantic), and specific ways that parents or other important adults foster language development at this stage.
• Click on the link below to download, print out, and review the document you will use to guide and record your observations:

Part 1: Infant or Toddler/Adult Observation and Interview Guide

• Arrive on time and take time to greet the child and the adult. Ask the adult about how the child’s day is going before you begin. (Factors such as a child feeling tired, hungry, or upset can influence the child’s mood and behavior.)
• Test your recorder to be sure it is working, then place it in an optimal spot for recording.

Observe: Sit in an unobtrusive place where you can watch and listen for about 20 minutes. You may need to move out of the infant’s or toddler’s vision range to avoid distracting the child and influencing his or her interaction with the adult. As you observe, take notes on what you see and hear using the Observation Guide. Use the information in your course text and other readings to recognize sounds or language that are evidence of the child’s stage of language development. Note ways that you observe the adult fostering language development and note any questions you have for the adult. Some guidelines:

• Remember to stay as objective as possible. Use only what you see and hear as evidence of the child’s use of language and the adult interaction with the child. Be mindful to not make assumptions about a child based on your observations. Be aware that you are observing in real time. You may observe a lot of activity from the child or very little. The interview with the adult will also give you information to reflect on for your written assignment.
• Remember that despite similarities shared by children of various ages, each child is different and goes through the stages of language development in his or her own way. Keep that uniqueness in mind as you observe the child.
• Enjoy the experience. Use what you’ve learned this week to try to imagine the world through the eyes of an infant or toddler and his or her experience of learning and using language.
• Be respectful of the child’s and adult’s time. Stick to the time span you agreed to for the observation. Be sure to thank the adult and child for their cooperation.
• Remember that this observation experience is intended as a chance for you to learn. Do not criticize or attempt to instruct the adult on ways to foster language development.

Reflect on your observation and interview. Review your notes and listen to the recording of the child’s use of language, child-adult interactions, and your interview with the adult as many times as necessary to complete the following:

• What did you learn from your observation and interview about the child’s typical language activity? Give examples of the child’s use of “language” that provide evidence of the child’s stage of language development. Describe the type of interactions between the child and adult, including specific examples from your notes or recording of the observation. Based on what you have learned, describe the significance of these interactions in fostering the child’s language development.
• How did the type and degree of interaction between the child and adult compare with what you have learned about this specific stage of language development and types of interactions that best foster language development?
• Imagine yourself in this adult’s place. What kinds of suggestions would you find valuable for fostering this child’s language development? Provide some specific ideas.

Note: Do not use the real names of the adult and child. Use only first names, initials, or fictitious names for the child and the adult to protect their privacy.

## Type of Banking

APA format

You are looking ahead to starting a business after graduation. A colleague recommended that the two of you begin developing a plan now to determine how funds will be obtained to launch the business and support operations. You both agree that the business will require at least \$50,000 of start-up capital and one employee besides yourselves. Include the following information in your plan:

Describe the type of banking and loan arrangements you would use to collect the funds to launch the business, and explain how these accounts would be monitored to ensure accuracy and sufficiency of funds. Show an example of how a loan might be constructed to obtain the start-up capital, including computations of payments and interest.

Discuss the types of taxes you will need to consider collecting, paying, or remitting relative to your business, and explain how these are computed.

Explain how you will use pricing, commissions, discounts, markups, or markdowns strategically to help generate interest in your business product or service offering.

Discuss how these will affect income and the cash available to the business.

Assuming that inventory and computers are among the first asset purchases planned, explain how these will be acquired.

Show computations of how costs will be recovered.

Discuss how technology and the Internet will be used for banking and financial aspects of the start-up and operation of your business.

Discuss the issues and risks associated with processing financial transactions and records on the Internet, and explain how you plan to address them.

## Final Business Model And Strategic Plan

Aflac

Resources: University of Phoenix Material: Business Model and Strategic Planning Outline; Innovation Business Model, Vision, Mission, Values; Supply and Value Chain; SWOTT Analysis; Balanced Scorecard; Communication Plan

Write a 700- to 1,050-word section for your business model and strategic plan in which you add your strategies and tactics to implement and realize your objectives, measures, and targets.

Include marketing and information technology strategies and tactics.

Develop at least three methods to monitor and control your proposed strategic plan, being sure to analyze how the measures will advance organizational goals financially and operationally.

Explain the ethical issues faced by the organization, summarize the legal and regulatory issues faced by the organization, and then summarize the organization’s corporate social responsibility.

Develop a 350-word page executive summary defining the new division of existing business. Share your Vision, Mission, final business model, value proposition and list your key assumptions, risks, and change management issues. Quantify the growth and profit opportunity and planned impact on various stakeholders.

Note: Any investor should be eager to meet with you after reading your executive summary.

Using the University of Phoenix Material: Business Model and Strategic Planning Outline as a guide, combine Parts 1, 2, and 3 of your completed business model strategic plan with your Final Business Plan Model assignment and Executive Summary. This includes the Business Model, Vision, Mission, Values, SWOTT Analysis, Supply Chain Analysis, Balanced Scorecard, and Communication Plan from prior weeks. Your consolidated final strategic plan should be 4,200 to 5,250 words in length.

Format paper consistent with APA guidelines.

## Human Resource Management Help

Please answer the discussion question below and reply to the two responses no later than noon sunday

Discussion question :

For this week’s topic, research the controversial HR practice of checking a job candidate’s social media sites as part of the selection process. Find at least one article and provide a summary for the discussion board. Also, respond to at least two other student posts.

reesponse 1

The article I read was from Forbes.com and written in 2012, and was an interview with the CEO of a company called Reappify, which would use integrated social media data to help companies in the hiring process. My biggest takeaway from this article was the fact that many companies at the time were starting to move away from conducting their own online searches of applicants, as it was proving very time consuming and could often reveal protected data (information about race, age, etc.) which could not be used in the hiring process. The author brought up the possibility of potential employers asking for Facebook passwords in order to ensure the applicant was not posting anything that was counter to the company’s ideals or principles. The CEO mentioned the law that was passed in Maryland that forbids this practice, and how it was becoming almost nonexistent in major companies. This was due to the growth of companies similar to theirs that would conduct the searches for these companies, ensuring no protected data was released, and that the person’s private social media was not accessed. So long as the applicant had privacy settings on their account, the companies were unable to view it.

The CEO would further go on to recommend that people sign up for social media platforms that served their particular interests and the job sectors they were looking for employment in, and be active in those communities in order to potentially make contact with companies that were looking for new hires. They also recommended keeping professional profiles up to date (LinkedIn, etc) and connecting with like-minded professionals through those profiles, as these would often lead to new employment opportunities. For employers, the CEO recommended using software that was designed to search particular areas of the internet for information on potential new hires, which would also avoid those areas that may inadvertently expose protected data. Also, keeping their business profiles on similar professional sites updated will help in finding the most interested and qualified applicants.

The author concluded that, while there may still be some companies that cross boundaries by asking for Facebook or other social media passwords, it is up to the individual to decide what they want to share online under their own name, and how such things may come back and affect them in the end. I can agree with this point, as I have seen many individuals post things online, without consideration for the “friends” that will see it, in particular Soldiers that are Facebook friends with supervisors or other individuals within their unit or chain of command. There are plenty of stories out there of individuals in the military posting their feelings about certain senior personnel or elected officials, only to have it come back and have a derogatory effect on their careers. That is another reason to avoid social media connections with co-workers, and in particular, anyone that is in a supervisory position over you. Words have meaning, and you never know who is reading them.

Source:

Quast, Lisa. “Recruiting, Reinvented: How Companies Are Using Social Media In The Hiring Process.” Forbes.com. Forbes Magazine, 21 May 2012. Web. 11 Sept. 2015.

response 2

In today’s day and age, social media is accessible by the entire population of internet using personnel. Social media sites contain information either placed there by the use or other users of the site. This makes confidentiality extremely important since anyone can post a picture or information about you for all to find. Recently, social media sites and internet searches have been used to pre-screen employers prior to interviewing to ensure that the values presented by the applicant match those of the organizational vision.

In the article, Mr. Segal discusses the potential risks and rewards of companies using social media for hiring practices. He explains that organizations use social media to their advantage. One way would be free advertising. Companies can post job openings and use social media as a cheap recruiting tool for employees that may not be local or have heard of the opening in other ways. This way of recruiting helps organizations reach as many people as possible to increase the quality of employee that applies. Secondly, he says companies use social media as an investigating tool, almost like a background check.

Mr. Segal discusses that the EOC cautions employers on the use of social media in hiring practices. He also discusses how the EOC may be looking for a way to give employers some leeway for the discovery of information found in social media. Adversely, the use of social media for recruitment may been seen as disadvantageous for those people too poor to afford the internet or those who don’t use social media at all. He discusses that the best way for employers to avoid adverse reactions to social media recruiting would be to use multiple forms of recruitment to ensure all potential applicants are receiving the same information.

When companies use social media as a background check, organizations become leery that they could run into legal issues since many photos and information contain protected data such as race, age, sexual orientation, or religion. Although, information found in social media can be helpful to the applicant for the hiring process, such as proof of volunteer work, the risks may be too large to benefit overall. Employees would need to ensure that the protective information found on social media is not used in the decision-making process for hiring a candidate or not.

Segal, Jonathon. “Social Media Use in Hiring: Assessing the Risks.” SHRM.org. Society for Human Resource Management, Web 11 Sept 2015.

## The Time Value of Money

Assignment 2: LASA 1—The Time Value of Money

By Wednesday, September 16, 2015 submit a 4-5 page report based on the following problem:

Mary has been working for a university for almost 25 years and is now approaching retirement. She wants to address several financial issues before her retirement and has asked you to help her resolve the situations below. Her assignment to you is to provide a 4-5 page report, addressing each of the following issues separately. You are to show all your calculations and provide a detailed explanation for each issue.

Issue A:
For the last 19 years, Mary has been depositing \$500 in her savings account , which has earned 5% per year, compounded annually and is expected to continue paying that amount. Mary will make one more \$500 deposit one year from today. If Mary closes the account right after she makes the last deposit, how much will this account be worth at that time?

Issue B:
Mary has been working at the university for 25 years, with an excellent record of service. As a result, the board wants to reward her with a bonus to her retirement package. They are offering her \$75,000 a year for 20 years, starting one year from her retirement date and each year for 19 years after that date. Mary would prefer a one-time payment the day after she retires. What would this amount be if the appropriate interest rate is 7%?

Issue C:
Mary’s replacement is unexpectedly hired away by another school, and Mary is asked to stay in her position for another three years. The board assumes the bonus should stay the same, but Mary knows the present value of her bonus will change. What would be the present value of her deferred annuity?

Issue D:
Mary wants to help pay for her granddaughter Beth’s education. She has decided to pay for half of the tuition costs at State University, which are now \$11,000 per year. Tuition is expected to increase at a rate of 7% per year into the foreseeable future. Beth just had her 12th birthday. Beth plans to start college on her 18th birthday and finish in four years. Mary will make a deposit today and continue making deposits each year until Beth starts college. The account will earn 4% interest, compounded annually. How much must Mary’s deposits be each year in order to pay half of Beth’s tuition at the beginning of each school each year?

Turn in your completed work to the M3: Assignment 2 Dropbox by Wednesday, September 16, 2015.

 Assignment 2 Grading Criteria Maximum Points Calculated the compounded interest over 20 years and evaluated the value of the savings account upon closing. (CO 1) 32 Calculated the bonus payout over 20 years vs. a one time payout with interest and distinguished which bonus option would be better for the client. (CO 1) 32 Calculated the present value of the bonus and analyzed the difference in bonus for the client. (CO 2) 32 Analyzed the tuition costs for the client and determined what the future costs will be and determined how these funds can be accumulated over time. (CO 4) 60 Written Components: Organization, usage and mechanics, APA elements, style 44 Total: 200

## Absorption versus Variable Costing

Assignment 1: Discussion—Absorption versus Variable Costing

There are several ways a company can allocate overhead costs to products produced or services provided. Two of these methods are absorption costing and variable costing. This assignment will allow you to explore the two methods of costing and compare/contrast the different uses of each costing system.

Using the module readings and the Argosy University online library resources, research absorption and variable costing. Use your research and/or your experiences as a working professional to complete this assignment.

Respond to the following:

• Explain the differences between absorption costing and variable costing.
• Explain, with the help of an example, how a company could use a variable costing system, as well as an absorption costing system. You have the option of using the company you work for as an example.
• Explain which method is better for the company being discussed.

By Saturday, September 12, 2015, post your response to the appropriateDiscussion Area. Through Wednesday, September 16, 2015, review and comment on at least two peers’ responses.

Write your initial response in 300–500 words. Your response should be thorough and address all components of the discussion question in detail, include citations of all sources, where needed, according to the APA Style, and demonstrate accurate spelling, grammar, and punctuation

Do the following when responding to your peers:

• contributing new, relevant information from course readings, Web sites, or other sources;
• building on the remarks or questions of others; or
• sharing practical examples of key concepts from your professional or personal experiences
• Respond to feedback on your posting and provide feedback to other students on their ideas.
• is clear, concise, and organized;
• demonstrates ethical scholarship in accurate representation and attribution of sources; and
• displays accurate spelling, grammar, and punctuation.

 Assignment Components Max Points Initial response was: Insightful, original, accurate, and timely. Substantive and demonstrated advanced understanding of concepts. Compiled/synthesized theories and concepts drawn from a variety of sources to support statements and conclusions. 16 Discussion Response and Participation: Responded to a minimum of two peers in a timely manner. Offered points of view supported by research. Asked challenging questions that promoted discussion. Drew relationships between one or more points in the discussion. 16 Writing: Wrote in a clear, concise, formal, and organized manner. Responses were error free. Information from sources, where applicable, was paraphrased appropriately and accurately cited. 8 Total: 40

## The Change Analysis

1. discussion

2. project

Part 2: The Change Analysis – Images of Change (Due Week 2)

The “Images” section focuses on the six different images of managing change and how each “approach” to change effects all that follows in its implementation and continued support. Download the “Week 2 Project Images Grid” from doc-sharing. Pick three of the “images of change” explained in the Week 2 lecture from the grid, and analyze how those particular “images” would affect the ensuing diagnosis and implementation in your two selected companies on their change plans.

Here’s what to do:

1. Working with the information that you provided in your topic proposal, and any feedback you have received from your Professor, flesh out the facts and information from your original proposal.
2. Review the changes in each company and describe them thoroughly in a word document. Explain how the change impacted the companies, and who it impacted. Compare some of the similarities and differences between the change in the two companies.
3. Look at your grid and pick three images of change from your grid. Fill out the empty blocks on the grid for those three images using outlines, bullet points, and rough ideas for both company’s change.
4. Now, in a Word document, analyze, compare and contrast the three images and explain how the behaviors of those images would be different or the same during your companies’ changes, and how those differences could (or did) impact the success (or failure) of the change, comparing and contrasting the results at both companies.
5. Explain which image (or combination of images) you feel would have best facilitated the described change and why.
6. Based on the information you actually read about the results of this change, state which image you think the leader of the change actually resembled the most. You may speculate here on which image you feel best represents the “change agent” at either or both of the companies. This will depend on how much information you found about the internal workings of the company during the change.

This paper should focus on evidence that demonstrates how the management of the organization integrated one or more of the six images of managing change (Chapters 2 and 3) how effective the change was and what management could have done differently to increase the probability of successfully implementing the strategic change initiative. Again, this is a compare and contrast paper – so include information about both companies in your report.

Grading rubric for paper #2 – Change Images

 Item Total points Properly filled out and submitted change grid showing your initial analysis and notes. 10 Two companies selected, “briefed”, and referenced. 20 Thorough description of the change explained 20 Comparison of the two companies, similarities/differences of the changes and the results 25 Image analysis 25 At least 4 new references, properly cited. 10 Total Points 110

This paper could be as short as 3 pages or as long as 7. Use APA formatting (double spaced, decent font.) Include your references on the final page. You should have at least 4 additional/new outside references, excluding the textbook. References should be scholarly.

## Paid Time Off

PTO policies have become good tools for HR staff to use in terms of organizational incentives. Use the Argosy University online library and your textbooks to read about PTO policies. Now, let us go back to Company A and Company B fromModule 1.

While reviewing the information from the two merged companies, the HR Director has found out that each company has two different PTO policies.

Company A has a PTO system in which employees are given 30 days of paid time off each year, which accumulates at the rate of 2.5 days a month. Under this policy, vacation and sick leave are all rolled into one paid leave and any absence whether scheduled, such as vacation, or unscheduled, such as sick leave, are taken from the accumulated leave the employee has earned.

Company B has a more traditional leave system in which employees are given 12 days of vacation, 10 days of sick leave and 10 holidays. The company is closed on those holidays. Vacation is accumulated at a day per month. Sick leave has an unlimited accumulation, but unlike vacation would not be paid out upon termination of employment.

Since the employees of the merged company will be working side by side, the HR Director has asked you to review the situation and make recommendations for a solution.

Instructions: