Probability plays a major role in the medical community. Diagnoses are based on probabilities. They are really questions or "what if's", and are answered by the probability that the treatment will be the best for the ailment. Let's look at probability in terms of both the real world and the medical community. Survey 30 people to find out if they are left-handed or right-handed, and use the following chart to create a contingency table with the information. Left handed Right handed Total Female Male Total Answer the following questions about the information in your contingency table: If a person is randomly selected from the survey participants, what is the probability that the person will be left-handed? If you randomly choose a female from the people you surveyed, what is the probability that she is left-handed? What is the odds ratio of choosing a left-handed female? What is the relative risk of choosing a left-handed female? Example Green Blue Total Cats 40 (A) 20 (B) 60 (A+B) Dogs 30 (C) 40 (D) 70 (C+D) Total 70 (A+C) 60 (B+D) 130 (A+B+C+D) Probability of Green - (A+C)/(A+B+C+D): 70/130 = 0.54 Probability of Green Cat - A/(A+B): 40/60 = 0.67 Odds Ratio of Green Cat - (A/B)/(C/D) or AD/BC: (4040)/(2030) = 1600/600 = 2.67 Relative Risk of Green Cat - [A/(A+C)]/[B/(B+D)]: (40/70)/(20/60) = 1.71 Skim through at least one of the following articles on left-handed vs. right-handed people from the Chamberlain Library. Answer the following question: How do the probabilities and percentages for your study compare to those in the study you read? https://search-proquest-com.chamberlainuniversity.idm.oclc.org/nahs/docview/211689160/DB2AB8D1E63B4638PQ/4?accountid=147674 (Links to an external site.) https://search-proquest-com.chamberlainuniversity.idm.oclc.org/nahs/docview/1326739712/DB2AB8D1E63B4638PQ/10?accountid=147674 (Links to an external site.)

What are some ways that you can think of to apply probability theory in business or even in one’s personal life? For example, if you were playing a game of poker with your friends, it would be helpful to know how the probability for winning a hand with a pair of aces in your hand is different than if you were holding a two of clubs and nine of hearts. When investing your money, you might need to choose between an investment that has a 95% chance to earn 3% or one that has a 65% chance to earn 30%. Business owners and managers make numerous decisions throughout the life of the business that are based on the probability of an event happening, consumer tastes changing or remaining the same, a production goal being met on time, and so on.In this Assignment, you will respond to a set of questions that focus on probability theory, including how the concept informs decision making and can be used by organizations.Submit your responses to the following prompts.A midsized company recently divided all employees into four divisions. Division 1 makes up 43% of the company, Division 2 makes up 40%, Division 3 makes up 12%, and Division 4 makes up 5%. Choose one employee at random. Find the probability for each of the following statements. (75 words, or 1 paragraph)The employee belongs to Division 1. The employee belongs to either Division 2 or Division 3. The employee does not belong to Division 1 or Division 2.Jasmine Robbins wants to open an independent coffee shop in a town that already has 9 coffee shops: 3 Mocha Moose, 2 Elkhorn Coffee, and 4 Morning JoJo. She is trying to determine the probability of choices that potential customers may make. Here is one of her questions: If a person selects one shop at random to purchase coffee, find the probability that it is either a Mocha Moose or a Morning JoJo. Explain your answer. (75 words, or 1 paragraph)The following chart shows the number of customer complaints from three regions of an organization for two separate years. 20182017Northeast region 6,493 3,401 Southeast region 732 2,513 Central region 3,706 1,082 Find the probability for each question. (75 words, or 1 paragraph)What is the probability that a complaint was from the Southeast region, given it was in 2017? What is the probability that a complaint was from the Central region, given it was in 2018? What is the probability that a given complaint did not occur in 2018 and was not from the Southeast region? What is the probability that two complaints chosen at random were both from the Northeast region? A management consulting team needs a team of four to analyze the operations of a new client. The team should comprise an accountant, a production specialist, a finance specialist, and a management specialist. On its staff, the consulting firm has available six accountants, five production specialists, three finance specialists, and eight management specialists. How many different teams could be formed from the available individuals? (75 words, or 1 paragraph)In a batch of 20 television picture tubes, 5 are known to be defective. What is the probability that a random sample of 5 (without replacement) will result in each of the following? (75 words, or 1 paragraph)Exactly 1 defective No defectives Two or fewer defectives The board of directors for a particular company consists of 10 members, 6 of whom are loyal to the current company president and 4 of whom want to fire the president. Suppose the chair of the board (who is a loyal supporter of the current president) suggests to randomly select 4 other board members to serve on a committee to decide the president’s fate. Find the probability for the first 3 questions and explain your answer for the fourth question. (75–150 words, or 1–2 paragraphs)What is the probability that all 5 committee members will vote to keep the president in place, if no one changes their minds? What is the probability that a majority of the committee will vote to keep the president in place, if no one changes their minds? What is the probability that the vote is 4 to 1 to replace the president, if no one changes their minds? Imagine that you were the president of the company and you hoped to keep your position. Considering the various probabilities, would you consider the chair of the board’s suggestion to be in your favor or not? If the choice was yours, would you allow the suggestion to proceed? Dave has just left an interview with a prospective employer. The hiring manager told Dave that she will tolerate one mistake during his first year but will fire him if he makes two mistakes. Based on Dave’s research and understanding of the job, he estimates that he will have to make five critical decisions during the year, and with his knowledge of the processes, figures that he will have about an 80% chance of making any of those five decisions correctly. Dave does not want to run any more than a 25% chance of being fired. If each of the decisions is independent of the others, should Dave risk taking the job if offered? Explain why or why not. (75 words, or 1 paragraph)

1. A trucking company continuously monitors the tread remaining on its fleet of truck tires. The firm knows that standard deviation is 0.1 cm. Suppose a sample of 80 tires were obtained, and the mean tread was 2.2 cm. Construct a 99% confidence interval. The company's operations manager knows that flat tires occur more often when the tread is below 1.0 cm. At what sample mean (and higher) should the company reasonably expect minimal flat tires, based on a 95% confidence interval?2. Monthly expenses for an advertising agency were obtained for the previous year. The sample of 12 expenses showed a mean of $196,000, with a standard deviation of $45,000. The office manager is budgeting for monthly expenses, and would like to know if it is reasonable to expect expenses to be below $250,000. Construct a 95% confidence interval to justify if $250,000 is reasonable.3. An online business consulting firm provides its service on a hourly basis. In the previous 15 months, the business had the following number of hours billed for its services.( Hours billed: 212 389 457 505 740 678 987 573 761 812 933 691 558 575 872)a. What is the point estimate of the population mean? b. Construct a 90% confidence interval.4. As the operator of an e-commerce web site, you are interested in monitoring the average time spent on the site. How large of a sample of usage times should be obtained, provided your allowable error is 30 seconds. Based on a long history, you know the standard deviation of usage times is 5 minutes. Assume a 90% level of confidence.