MUST CORRECTLY ANSWER THE MULTIPLE CHOICE QUESTIONS IN THE ATTACHED FILE. DOUBLE CHECK ANSWERS TO MAKE SURE THEY ARE ABSOLUTELY CORRECT

East West Distributing is in the process of trying to determine where they should schedule next year's production of a popular line of kitchen utensils that they distribute. Manufacturers in four different countries have submitted bids to East West. However, a pending trade bill in Congress will greatly affect the cost to East West due to proposed tariffs, favorable trading status, etc.A manufacturing company is considering expanding its production capacity to meet a growing demand for its product line of air fresheners. The alternatives are to build a new plant, expand the old plant, or do nothing. The marketing department estimates a 35 percent probability of a market upturn, a 40 percent probability of a stable market, and a 25 percent probability of a market downturn. Georgia Swain, the firm's capital appropriations analyst, estimates the following annual returns for these alternatives:A calculus instructor uses computer aided instruction and allows students to take the midterm exam as many times as needed until a passing grade is obtained. Following is a record of the number of students in a class of 20 who took the test each number of times.After careful analysis, East West has determined the following cost breakdown for the four manufacturers (in $1,000's) based on whether or not the trade bill passes:Bill PassesBill FailsCountry A260210Country B320160Country C240240Country D275210a.If East West estimates that there is a 40% chance of the bill passing, which country should they choose for manufacturing?b.Over what range of values for the "bill passing" will the solution in part (a) remain optimal?MarketUpturnStableMarketMarketDownturnBuild new plant$690,000$(130,000)$(150,000)Expand old plant 490,000 (45,000) (65,000)Do nothing 50,000 0 (20,000)a. What should the company do?b. What returns will accrue to the company if your recommendation is followed?(I created the table below). Decision tree:StudentsNumber of Tests101 72 23 14a.Use the relative frequency approach to construct a probability distribution and show that it satisfies the required condition.b.Find the expected value of the number of tests taken.c.Compute the variance.d.Compute the standard deviation.

MidtermThere are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox below.Question 1The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy.How many elements are in this data set?How many variables are in this data set?How many observations are in this data set?Name the variables and indicate whether they are categorical or quantitative.Question 2A student has completed 20 courses in the School of Arts and Sciences. Her grades in the 20 courses are shown below. Develop a frequency distribution and a bar chart for her grades.Develop a relative frequency distribution for her grades and construct a pie chart.Question 3The number of hours worked per week for a sample of ten students is shown below.Determine the median and explain its meaning.Compute the 70th percentile and explain its meaning.What is the mode of the above data? What does it signify?Question 4You are given the following information on Events A, B, C, and D.Compute P(D).Compute P(A ∩ B).Compute P(A | C).Compute the probability of the complement of C.Are A and B mutually exclusive? Explain your answer.Are A and B independent? Explain your answer.Are A and C mutually exclusive? Explain your answer.Are A and C independent? Explain your answer.Question 5When a particular machine is functioning properly, 80% of the items produced are non-defective.If three items are examined, what is the probability that one is defective?Use the binomial probability function to answer this question.Question 6The average starting salary of this year’s graduates of a large university (LU) is $20,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed.What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400?Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?What are the minimum and the maximum starting salaries of the middle 95.4% of the LU graduates?Question 7A simple random sample of 6 computer programmers in Houston, Texas revealed the sex of the programmers and the following information about their weekly incomes.What is the point estimate for the average weekly income of all the computer programmers in Houston?What is the point estimate for the standard deviation of the population?Determine a point estimate for the proportion of all programmers in Houston who are female.Question 8Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple random sample of 36 students is taken.What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?What is the probability that the sample mean will be at least $4?What is the probability that the sample mean will be at least $5.90?Grading Criteria AssignmentsMaximum PointsMeets or exceeds established assignment criteria40Demonstrates an understanding of lesson concepts20Clearly presents well-reasoned ideas and concepts30Uses proper mechanics, punctuation, sentence structure, and spelling10Total100