Soultions

In:

Submitted By kinosana
Words 34166
Pages 137
PART ONE Solutions to Exercises

Chapter 2
Review of Probability
Solutions to Exercises
1. (a) Probability distribution function for Y Outcome (number of heads) probability Y=0 0.25 Y=1 0.50 Y=2 0.25

(b) Cumulative probability distribution function for Y Outcome (number of heads) Probability Y −1.96 and

< −1.96. Solving these inequalities yields n ≥ 9220.

18. Pr (Y = \$0) = 0.95, Pr (Y = \$20000) = 0.05. (a) The mean of Y is

μY = 0 × Pr (Y = \$0) + 20, 000 × Pr (Y = \$20000) = \$1000.
The variance of Y is
2 σ Y = E ⎢ ( Y − μY ) ⎢ ⎡ ⎣ 2⎤ ⎥ ⎥ ⎦

= (0 − 1000)2 × Pr (Y = 0 ) + (20000 − 1000)2 × Pr (Y = 20000) = (−1000)2 × 0.95 + 19000 2 × 0.05 = 1.9 × 10 7, so the standard deviation of Y is σ Y = (1.9 × 107 ) 2 = \$4359.
1

2 (b) (i) E (Y ) = μY = \$1000, σ Y = σnY = 1.9×10 = 1.9 × 10 5. 100
2 7

(ii) Using the central limit theorem,

Pr (Y > 2000) = 1 − Pr (Y ≤ 2000) ⎛ Y − 1000 2, 000 − 1, 000 ⎞ = 1 − Pr ⎜ ≤ ⎟ 5 1.9 × 10 5 ⎠ ⎝ 1.9 × 10 ≈ 1 − Φ (2.2942) = 1 − 0.9891 = 0.0109.

Solutions to Exercises in Chapter 2

11

19. (a) Pr (Y = y j ) = ∑ Pr ( X = xi , Y = y j ) i =1 l l

= ∑ Pr (Y =y j|X =xi )Pr ( X =xi ) i =1

(b)
E (Y ) = ∑ y j Pr (Y = yj ) = ∑ yj ∑ Pr (Y = yj |X = xi ) Pr ( X = xi ) j =1 j =1 i =1 k k l

=∑ l ⎛ k ⎜ ⎜ ⎜ i =1 ⎜ j =1 ⎝ l

∑ yj Pr (Y = yj |X = xi ) ⎟ Pr ( X =xi )
⎟ ⎟ ⎠

⎞ ⎟

=∑ E (Y |X =xi )Pr ( X =xi ). i =1

(c) When X and Y are independent, Pr (X = xi , Y = yj ) = Pr (X = xi )Pr (Y = yj ), so

σ XY = E[( X − μ X )(Y − μY )]
=∑ ∑ ( xi −μX )( y j −μY ) Pr ( X =xi , Y =y j ) i =1 j =1 l k l k

=∑ ∑( xi −μX )( y j −μY ) Pr ( X =xi ) Pr (Y =y j ) i =1 j =1

⎞ ⎛ l ⎞⎛ k = ⎜ ∑ ( xi − μ X ) Pr ( X = xi ) ⎟ ⎜ ∑ ( yj − μY ) Pr (Y = yj ⎟ ⎝ i=1 ⎠ ⎝ j =1 ⎠ = E ( X − μ X )E(Y − μY ) = 0 × 0 = 0, cor (X , Y ) = l m

σ XY 0 = = 0. σ XσY σ XσY

20. (a) Pr (Y = yi ) = ∑∑ Pr (Y = yi |X = xj , Z =

Similar Documents

Synergtic Soultions

...Synergetic Solutions: An Internal Report Jennifer M. Gribbins University of Phoenix Author Note This report was prepared on February 25, 2013, for Com/530, Communication for Accountants taught by Dr. Sherman. Synergetic Solutions: An Internal Report Synergetic Solutions Inc. is a \$6 million company that assembles and resells leading computer brands (University of Phoenix, 2013). With nearly 300 employees in five locations, most possess only basic computer assembly knowledge and trouble shooting skills (University of Phoenix, 2013). Driven by the stagnant system integration market, CEO Harlod Redd made an important strategic decision to focus on the networking solutions business of designing and implementing complex computer networks (University of Phoenix, 2013). Mr. Redd’s lofty goal is to raise networking revenues to 80% of total sales, which are targeted at \$12 million in the next nine months (University of Phoenix, 2013). Other quarterly growth targets such as employee involvement, productivity, and absenteeism are based on industry benchmarks (University of Phoenix, 2013). What are the drivers for change? Synergetic Solutions is changing its focus from a computer trading organization to a networking design hot house (University of Phoenix, 2013). In doing so, they are experiencing some huge internal drivers of change. Technological capacity of the current work force is a stumbling block. Most of the staff possesses only basic computer assembling and trouble...

Words: 2110 - Pages: 9

Chapter 21 Soultions

...CHAPTER 21 Accounting for Leases ASSIGNMENT CLASSIFICATION TABLE (BY TOPIC) | | |Brief  Exercises | | | Concepts for | |Topics |Questions | |Exercises |Problems |Analysis | |*1. Rationale for leasing. |1, 2, 4 | | | |1, 2 | |*2. Lessees; classification |3, 5, 7, |1, 2, 3, |1, 2, 3, |1, 2, 3, 4, |1, 2, 3, | |of leases; accounting by lessees. |8, 14 |4, 5 |5, 7, 8, 11, 12, |6, 7, 8, 9, 11, 12,|4, 5, 6 | | | | |13, 14 |14, | | | | | | |15, 16 | | |*3. Disclosure of leases. |19 | | |2, 4, 5, |2, 3, 5 | | | | | |7, 8 | | |*4. Lessors; classification ...

Words: 22191 - Pages: 89

Acct 500 Case Soultion

...According to section 225-10-S99 of the FASB Codification, the following income statement presentation is relevant to this case: Net sales, which is equal to gross sales less discounts, returns and allowances, should be stated first. Sales of tangible products (children’s clothing) and revenues from services (spa services) should be stated separately from one another on the income statement. Gross profit, Cost of Sales, according to the case, “includes expenses incurred to acquire and produce inventory for sale, such as product costs, freight-in and import costs, and direct labor costs for Sassy Spa employees.” Cost of tangible goods sold (children’s clothing) and costs services (Sassy Spa direct labor costs) should be stated separately from one another on the income statement. Depreciation Depreciation expense in this case is excluded from Cost of Sales. Section 225-10-S99 allows for a separation of lines between Cost of Sales and depreciation. The Codification gives the following example as an acceptable label: Cost of goods sold (exclusive of depreciation shown separately below) However, in order to avoid a misunderstanding of cash flows, a separate income subtotal is not permitted on the income statement. The following example is given as an unacceptable subtotal label: Income before depreciation Extraordinary Items According to section 225-20-45, extraordinary items are distinguished by their “unusual nature and by the infrequency of their occurrence” and...

Words: 372 - Pages: 2

...SOLUTIONS: 2510 C ADMS 2510.3.0 Section C: Thursday 4-7: ACW 006: Mid-Term Exam #1 One hour allowed: there are three equally weighted questions: answer them all. Question 1: You are given the following list of cost and sales data for the Tiny Co for the year to 31st December 2013. Sales revenue: | \$900,000 | Purchase of raw materials | \$200,000 | Raw materials inventory at 1st January 2013 | \$ 50,000 | Raw materials inventory at 31st December 2013 | \$ 25,000 | Work-in-process inventory at 1st January 2013 | \$ 10,000 | Work-in-process inventory at 31st December 2013 | \$ 20,000 | Finished goods inventory at 1st January 2013 | \$ 75,000 | Finished goods inventory at 31st December 2013 | \$100,000 | Marketing and distribution expense | \$100,000 | Administrative and office expense | \$ 40,000 | Direct labour | \$175,000 | Factory depreciation | \$ 20,000 | Factory maintenance | \$ 10,000 | Factory indirect labour | \$ 15,000 | Factory insurance | \$ 55,000 | Required: 1.1: show the “T” account for work-in-process (5 marks). Work-In-Process | Debit | | Credit | Work-in-process inventory at 1st January 2013 | \$ 10,000 | | | Raw materials used: (\$50,000 + \$200,000 - \$25,000) | \$225,000 | Transferred to finished goods (plug) | \$490,000 | Direct labour | \$175,000 | | | Overhead incurred: (\$20,000 + \$10,000 + \$15,000 + \$55,000) | \$100,000 | Work-in-process inventory at 31st December 2013 | \$ 20,000 | Total | \$510,000 | | ...

Words: 805 - Pages: 4

Pros And Cons Of Israel

...I think that Israel should rule the country. I think this for many reasons and they deserve it more than palestinians. i do think that the israelis should let the palestinians combine with them and israel should not argue with them it seem like they're kids arguing it is not a big deal.I think israel does not have a reason for them to not they have nowhere else to go.i think it is not up to which ever side to say how the holys site will be owned and it will be god's decision.i don't think that they want to pick a way for them to work out so i think they have to get along.i think that only one side should be the leader and not together because that will cause more fighting.i think israel should be the leader because they have more pros that...

Words: 448 - Pages: 2

Free Essay

Brhea

...Brandon Kabbash Professor James Rhea IS 3100 15 November 2012 Case Study 6 1. Read the “Thinking Exponentially” Guide on pages 194-195. Keeping the principles of that guide in mind, list five possible commercial applications for mobile WiMax. Consider applications that necessitate mobility. After reading the case study, I firmly believe that five potential commercial applications of mobile WiMax would be to create a quicker, faster and stronger wireless network, better use and integration of cell phones in automobiles and other forms of transportation, an easier means to start or create networks, bringing wireless internet to more public places, and to improve in video messaging and email. 3. Clearwire went public in March 2007 at an initial price of \$27.25. As of April 2010, the price was \$8.00. Go Online and research the company to find out what happened to its share price. Explain why its share price has dropped. Clearwire’s share price dropped from \$27.25 to \$8.00 in 2007 because Clearwire and Sprint merged their wireless broadband unit into sprint’s 4g WiMax network with Clearwire’s WiMax broadband network. 4. AT&T and T-Mobile have endorsed HSDPA, but it does not have the same potential maximum transmission rates. Rather than jump on the WiMax bandwagon, those companies plan to deploy a different technology called Long Term Evolution (LTE). Search the Web for LTE versus WiMax comparisons and compare and contrast these two technologies. Long Term...

Words: 529 - Pages: 3

Free Essay

Ethic Conflict

...Ethnic conflict: Ethnicity; defining principle of identity often determined by shared language, culture, religion * Desire to reassure and protect one’s own ethnic identity results in ethnic conflict within state boundaries * Ethnic cleansing; forcible removal of a group of people by another by violence and deportation ---- Genocide is an extreme form of ethnic cleansing Bosnian Genocide * The socialist federal republic of Yugoslavia was held together by the communist leadership of joseph bronz -1981, individual states began to secede along ethnic lines - Slovenia and Croatia declared independence in 1991 - Macedonia and bosnia and Herzegovina in 1992 - Montenegro entered into federation with Serbia - Serbian nationals responded to Bosnian independence with attacks - The Bosnian war resulted in 100,000 dead and massive crimes to humanity - Ethnic cleansing of muslim pop. Especially in eastern bosnia - mass rape of 20,000-50,000 women. Modern ethnic conflicts often arise from colonial experience * artificial state boundaries grouping ethnic communities together * legacy of brutality Democratic republic of Congo * vey mineral rich lands * controlled by king leopold II of Belgium * slavery and violence The DRC relied on Hutu and Tutsi laborers from Rwanda * Tutsi’s were favored by Belgians Rwanda * Rwandan Civil War between the hutu led gov. and Rwandan Patriotic Front (RPF) * 1994: Hutu ethnic...

Words: 659 - Pages: 3

Free Essay

Violence in the Workplace: a Case Study

...Health Administration (OSHA) as 20,000 assaults and 792 homicides in 2005 alone. Clearly, this problem not only has negative effects on the victims of these incidents, but it also affects their families and communities in both financial and psychological ways. It also affects the companies where such incidents take place in multiple ways. It can lead to loss of morale between employees, and can lead to financial losses by the company for compensation to the affected parties. Most importantly, it sometimes has serious legal repercussions, as in the case of the lawsuit against Lockheed Martin in the aftermath of the Doug Williams shooting incident. So what can be done to prevent or reduce the prevalence of workplace violence? Possible Soultions: 1) Installing metal detectors in the workplace. 2) Employee screening process during the hiring process to avoid hiring at-risk individuals 3) Early detection and warning system coupled with psychiatric advisors for employees. Solution Details: 1) Installing metal detectors in the workplace. Explanation: Installing metal detectors at the entrances of the offices or factories Pros: Would prevent the entrance of guns or other weapons that can be used to commit violence. Cons: Does not take into account the possibility that ordinary items...

Words: 537 - Pages: 3

Title: What Do Kaldor and Selchow Mean by ‘Subterranean Politics’ in Europe, and What Are the Implications of Their Four Findings? Do You Think Their Study Has Really Demonstrated the Usefulness and Credibility of Their Approach?

...Title: What do Kaldor and Selchow mean by ‘subterranean politics’ in Europe, and what are the implications of their four findings? Do you think their study has really demonstrated the usefulness and credibility of their approach? From the title of this essay, it allows the reader to understand that this assignment will be associated with Subterranean Politics. It will also inform the reader on a research project carried out to examine a new range of Political phenomena called Subterranean Politics (Kaldor & Selchow 2013: 78). Four findings will then be discussed on what is meant by subterranean politics. This essay will also show the context, methodology and literature of Kaldor and Selchows discoveries of the ‘bubbling up’ of subterranean politics. It will explain the striking affects that this new type of politics on Europe. This substantive content will give information that entices one to discover the currents of opinions or new political inventiveness that have the capability to stop Europe from falling apart (Kaldor & Selchow 2012: 1). It will then look deep into the study to see whether or not it has demonstrated an image of the usefulness and credibility of their approach towards this type of politics. Europe today is seen to be going through a Financial and Socio-Economic Crisis. “At this point in subterranean politics, grassroots activism protests and multiple ‘new’ types of political phenomena with research was carried out by seven field teams from each end...

Words: 646 - Pages: 3

Object Gets Smaller When We Walk Away from It

...We make contact with the world around us through our five primary senses; these senses are sight, hearing, touch, smell, and taste. Sense is the pick-up of information from our sensory receptors. For example, our ears pick-up the sound waves the same way our tongue pick-up the taste. When we are first born our five senses are just starting to develop from the first taste of milk, to hearing people speak, or even feeling the touch of our mother’s hand. At the time the baby is born, he/she is not aware of food will be important for them to survive or to be able to distinguish between hot or cold. They will also hear words and sounds but will not understand the meaning of the word. They will not know or understand how important these senses are until they are taught. Now as we grow as adults our senses will have become interwoven with the way we think and use our minds. When we read a book we are using eyes as a tool. When we listen to music, hear the bird’s chirp, our children laughing we are using another sense which is our ears to listen to these wonderful sounds that we enjoy. Our ears also hear sounds that we do not want to hear as well. In order for our senses to work properly our brain is involved with our senses gather the information for our senses to work (Thinking, 2007). When we read we are using our eyes to gather the information and it is being put into our minds for reference. We all count on all of our senses to be accurate, and there certain factors that...

Words: 801 - Pages: 4

Human Resources

...HRM 500 • Based on the information given but in your own words, explain what approaches to recruiting might be best suited for Apple’s talent acquisition. As Apple prides itself on secrecy and having a high degree of control they would have to create an environment where the employees that they hire undergo through a series of background checks to ensure that they are ethical and moral and that once they are hired by Apple that they would not go to their competitors to disclose any of the trade secrets that make Apple one of the top technology companies in the world. Apple can use the LinkedIn networking site to study candidates past work history and their previous job performance since one of the best predictors of performance is to study the candidate’s past work history. They should look for candidate’s who have an impeccable track record. (Noe, Hollenbeck, Gerhart, Wright 2011, p. 153). • Describe the recruiter traits and behaviors that would lead to the most successful recruiting campaign for Apple. Apple can use teams instead of just using one individual recruiter. This would be a more useful approach since with a team there would be less subjective experiences and it would reduce the effect of biases. Apple should use recruiters who embody the company values and ideals. Apple prides itself on innovation, creativity and thinking outside of the box and they should hire recruiters who most closely embody...

Words: 779 - Pages: 4

Free Essay

Case Diversity Management

...sont partis du constat qu’il était trop facile d’opposer l’approche égaliste antidiscriminatoire au « diversity management » (approche anglo-saxonne). Ils tentent donc de démontrer que la question du genre et du sexe n’est pas forcément distincte de celle de l’orientation sexuelle car les gai et lesbiens ne sont pas forcément confrontés aux même difficultés. Il étoffe cette analyse une distinction goffmanienne qui population stigmatisée et population stigmatisable. Dans la première partie de leur recherche, l’utilité des politiques de management de la diversité, sont mises en avant plutôt que la lutte contre la discrimination des les gays et lesbiens qui veulent se dévoiler sans risque au travail. C’est en voulant trouver des soultions à la source plutôt que des solutions curatives q’ils mettent en évidense le fait la stigmatisation des gais et lesbiens ne vient non pas comme l’articulation entre un sexe biologique et d’une construction sociale et culturelle des rapports hiérarchisés de sexe mais plutôt comme les multiples configurations dominées ou dominantes entre le sexe, les rapports de force entre les sexes et les sexualités (hétéro, homo, bi, trans…) Les études gays et lesbiennes se sont développée en même temps que les études féministes et de genre mais d’un point de vue politique les relations sont plutôt conflictuelles. Par exemple les féministes voient les gays comme des hommes dominants comme les autres et les lesbiennes comme des antiféministes. De leur...

Words: 723 - Pages: 3

Nothing

...Age Group vs. rating in terms of: | Mean | Computed F-value | p-value | Decision | Remarks | Objectives of Life Insurance and Wealth Management | 20yrs. old - 30 yrs. old | 5 | 1.073 | 0.368 | Failed to reject Ho | Not significant | | 31 yrs. old - 40 yrs. old | 4.96 | | | | | | 41 yrs. old - 50 yrs. old | 5.69 | | | | | | 51 yrs. old & above | 6.62 | | | | | Reasons for Availing Life Insurance | 20 yrs. old - 30 yrs. old | 8 | 0.349 | 0.247 | Failed to reject Ho | Not significant | | 31 yrs. old - 40 yrs. old | 5.7 | | | | | | 41 yrs. old - 50 yrs. old | 5.62 | | | | | | 51yrs. old & above | 6.61 | | | | | Age Group vs. rating in terms of: | Mean | Computed F-value | p-value | Decision | Remarks | Problems Encountered in having Life Insurance and Wealth Management | 20yrs. old - 30 yrs. old | 5 | 0.131 | 0.941 | Failed to reject Ho | Not significant | | 31 yrs. old - 40 yrs. old | 4.96 | | | | | | 41 yrs. old - 50 yrs. old | 5.69 | | | | | | 51 yrs. old & above | 6.62 | | | | | Age Group vs. rating in terms of: | Mean | Computed F-value | p-value | Decision | Remarks | Solutions | 20yrs. old - 30 yrs. old | 5 | 0.214 | 0.886 | Failed to reject Ho | Not significant | | 31 yrs. old - 40 yrs. old | 4.96 | | | | | | 41 yrs. old - 50 yrs. old | 5.69 | | | | | | 51 yrs. old & above | 6.62 | | | | | ...

Words: 1037 - Pages: 5