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kaplan mm250 unit 3 assignment

Unit 3: Probability and Counting Rules – AssignmentTotal points for Assignment: 35 points.Assignments must be submitted as a Microsoft Word document and uploaded to the Dropbox for Unit 3.All Assignments are due by Tuesday at 11:59 PM ET of the assigned Unit.NOTE: Assignment problems should not be posted to the Discussion threads. Questions on the Assignment problems should be addressed to the instructor by sending an email or by attending office hours.You must show your work on all problems. If a problem is worth 2 points and you only show the answer, then you will receive only 1 point credit. If you use a calculator or online website, give the source and tell me exactly what you provided as input. For example, if you used Excel to compute 16 * 16, tell me “I typed =16*16 into Excel and got 256. You may type your answer right into this document. Part I. Basic Computations1. A restauraunt offers the following limited lunch menu:Main CourseHamChickenFishVeggie Burger VegetablesPotatoesPeasSalad BeveragesCoffeeTeaMilkSoda DessertsCakePieIce Creama. (2 points) If one item is selected from each of the four groups, how many different meals can you order? Answer: Explanation: b. (2 point) If you don’t order a dessert, how does your answer change?Answer: Explanation: 2. According to the American FactFinder website there were 197.8 million adults over the age of 25 in the United States in 2007. The table below shows the educational attainment for these adults. Use the data in the table, expressed in millions, to solve the following problems. Less than 9th grade Some High School H.S. Graduate Some College Assoc. Degree Bach. Degree Advanced DegreeMale 6.3 9.1 28.1 18.6 6.4 16.7 10.2Female 6.4 8.9 30.3 21.1 8.3 17.6 9.7Total 12.7 18.0 58.5 39.8 14.6 34.2 20.0What is the probability that a randomly selected American, aged 25 or over,(a) (2 point) …. has an advanced degree?Answer (Show your work): (b) (1 point) … is female?Answer (Show your work): (c) (1 point) …. is a female with an advanded degree?Answer (Show your work): (d) (1 point) … has attended college (may or may not have graduated)?Answer (Show your work): 3. You are in charge of planning a Talent Show for your daughter’s Elementary School. The following teachers at the school have agreed to show off their talents, as follows:• Clown Act – Mrs. Barbour• Playing Trombone – Mrs. McDonnell• Knock-Knock Jokes – Mrs. Peck• Singing the ABC Song – Mrs. Santoro• Mime – Mrs. Fisher• Magic Act – Mr. Annesi• Singing “Somewhere Over the Rainbow” – Mr. Bella. (1 point) You need to select 3 of the teachers to perform in the first act. How many different ways can you select the 3 teachers?Answer: Explanation:b. (1 point) You need to select 3 of the teachers to perform in the first act. How many different ways can you select 3 teachers and schedule them for the first act?Answer: Explanation:4. Let’s say your sister is having a baby and you are talking with her about whether you think it will be a boy or a girl. She doesn’t know the gender of the baby. Determine whether the following statements of probability are considered classical, empirical, or subjective probability. Explain how you know which type of probability it is. Note: You do not need to compute the actual probability.a. (1 point) There are two elementary schools in town where your sister lives, with students randomly selected to attend. One school is much larger than the other, so many more students attend School A than the students attend School B. The probability that the child will attend School A.Answer: .b. (1 point) The probability that your sister will have a boy.Answer: c. (1 point) Children in the town where your sister lives have a choice of playing one of three sports: (a) Soccer (b) Lacrosse and (c) Swimming. The probability that the child will participate in swimming.Answer: d. (1 point) The probability that the baby will be born on a Friday.Answer: Part II. Case Study The case of the Carribean CriminalsThis week Patty Madeye is helping the script-writers on a case of embezzlement at a local law practice, Dewey, Cheatem, and Howe. [Get it?] The characters of the “Patty Madeye Mysteries” will be investigating a case of embezzlement planned and executed by a team of 2 people who work at the law firm. The story goes that the male/female pair of criminals are both married (to other people) but involved in a love-affair with each other. They have stolen over $2 million in funds from company accounts and have disappeared to somewhere in the Carribean. Your job will be to use your knowledge of probability and counting methods to help the writers identify possible candidates to be written into the script. Name Gender Position StatusKelly Female Specialist MarriedAndrea Female Attorney SingleAshley Female Associate SingleBruce Male Attorney-Partner SingleSerge Male Specialist MarriedKaren Female Paralegal SingleAmy Female Specialist MarriedMarion Female Attorney SingleJames Male Attorney-Partner MarriedJanice Female Specialist MarriedLori Female Associate SingleTimothy Male Associate MarriedRobert Male Attorney-Partner SingleMary Female Paralegal MarriedEric Male Attorney-Partner SingleStephanie Female Attorney-Partner SingleDana Female Associate MarriedJoseph Male Associate MarriedKathleen Female Attorney SingleCarissa Female Associate SingleDon Male Specialist MarriedMichael Male Attorney-Partner MarriedAnne Female Specialist SingleScott Male Attorney-Partner SingleWilliam Male Associate MarriedJohn Male Attorney MarriedPenny Female Associate SingleElaine Female Specialist SingleDaniel Male Associate MarriedJustin Male Attorney MarriedTask #1: In your first meeting with the writers, they show you the list of the character sketches for the employees that work at the law practice. The writers think that the male embezzler should be one of the partners of the law firm, indicated in this list by “Attorney-Partner”. For the female embezzler, they have chosen someone who is listed as a “Specialist”. Specialists are employees of the firm who offer subject-matter expertise in specific areas such as real estate or accounting.a. (4 points) How many different choices do we have for the male/female team of embezzlers? [Remember: both members of the team are married.]Answer: Explanation: b. (4 points) How would this answer be different if the 2 members of the male/female team don’t have to be married? In other words, they could be either single or married.Answer: Explanation: Task #2: (4 points) The writers want to include an accomplice in the story – that would be someone else in the firm who knew that the pair were stealing from the company. If the accomplice is selected at random from the remaining employees, what is the probability that the accomplice is female? Answer: Explanation: Task #3 (8 points) – Who should be the “whistle-blower”?The writers of the show have asked you to think of a “plot-twist” that can be solved using probability. For example, let’s say that someone claims that there’s a 50% chance that the “Attorney-Partner” embezzler is male but that would only be the case if there were an equal number of males and females. Using the evidence from above and what you have learned about probability, in a well-structured essay, present a problem and its solution. Be creative!!Answer: Requirements- Write your essay in this document – do not save it in a separate file.- You must clearly state your position in 2-3 well-structured paragraphs using proper grammar, spelling, and sentence structure.- This is not an “opinion” question – you must offer evidence from the data or your knowledge of probability.- Don’t forget to explain how the problem can be solved with probability. (Remember, the script writers haven’t taken this class yet).

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