Problem 1d: XYZ Corporation develops a wide range of products for its target market. Overall, 25% of its existing products are considered by the marketing department to be successful (S) and 75% are unsuccessful. The company is using a panel of potential customers to evaluate existing product designs, with the objective to improve the success rate of future products. Of the existing products, 80% of successful products (S) received good reviews (G), and 10% of unsuccessful products received good reviews. The customer panel is also used to evaluate a number of new product designs, for which the marketing department has no data to determine if the product will be successful or hot. Assume that the population of new product designs has the same probability distributions as those of the existing products. You are asked to determine: Of the new product designs that receive a good review, what proportion would be successful? (d) Give your proportion as a percentage with 2 decimals

In a large metropolitan area, 15% of the commuters currently use the public transportation system, whereas the remaining 85% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 10% of those who are now commuting to work via automobile will switch to public transportation, and 90% will continue to commute via automobile. At the same time, it is expected that 20% of those now using public transportation will commute via automobile and 80% will continue to use public transportation. (a) Construct the transition matrix for the Markov chain that describes the change in the mode of transportation used by these commuters. P T = A (b) Find the initial distribution vector for this Markov chain. Xo = (c) What percentage of the commuters are expected to use public transportation 6 months from now? (Round your answer to the nearest percent.)

Harvard University has recently revolutionized its financial aid policies, aimed at easing the financial strain on middle and upper-middle income families (Newsweek, August 18–25, 2008). The expected contribution of students who are admitted to Harvard has been greatly reduced. Many other elite private colleges are following suit to compete for top students. The motivation for these policy changes stems from competition from public universities as well as political pressure. A spokesman from an elite college claims that elite colleges have been very responsive to financial hardships faced by families due to the rising costs of education. Now, he says, families with an income of $40,000 will have to spend less than $6,500 to send their children to prestigious colleges. Similarly, families with incomes of $80,000 and $120,000 will have to spend less than $20,000 and $35,000, respectively, for their children’s education. Although in general, the cost of attendance has gone down at each…

Size of a firm matters for implementation of supply chain management practices. It implies that larger firms very frequently implement supply chain and use advanced technologies to integrate supply chain partners. A study has reported part of the relationship between types of firm (Private and Public) and supply chain management implementation and between size of a firm (small to large, in terms of number of employees) and supply chain management implementation in International Journal of Business Modelling and Supply Chain Management (Vol. 5, 2013). The following table shows number of different sized private and public firms participated in this study   Private Public Total ≤ 24 employees 20 1 21 25-49 17 1 18 50-99 14 1 15 100-199 9 0 9 ≥ 200 employees 23 9 32 Total 83 12 95 Two following events are defined: A: {A firm participated in this study is Private} B: {A firm participated in this study has employees more than 49} Find a. P(A) and P(B) b. P(AUB) c. P(A∩B)

Suppose when you add flexibility to your model by adding higher-order terms or more predictor variables that you begin to see the test or validation error (MSE or SSE evaluated on the test or validation set) begin to increase away from the training error. What kind of a problem are your models experiencing?

Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 40% of those now using public transportation will commute via automobile and 60% will continue to use public transportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.) %

Upon arrival at a hospital’s emergency room, patients are categorized according to their condition as critical, serious, or stable. In the past year: 10% of the emergency room patients were critical; 30% of the emergency room patients were serious; the rest of the emergency room patients were stable; (i) (ii) (iii) (iv) 40% of the critical patients died; (vi) 10% of the serious patients died; and (vii) 1% of the stable patients died. Given that a patient survived, calculate the probability that the patient was categorized as serious upon arrival.

Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 10% of those now using public transportation will commute via automobile and 90% will continue to use public cransportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)

Floyd Distributors, Inc., provides a variety of auto parts to small local garages. Floyd purchases parts from manufacturers according to the EOQ model and then ships the parts from a regional warehouse direct to its customers. For a particular type of muffler, Floyd's EOQ analysis recommends orders with Q* = 20 to satisfy an annual demand of 180 mufflers. Floyd's has 250 working days per year, and the lead time averages 15 days.Note: Use Appendix B to identify the areas for the standard normal distribution.   What is the reorder point if Floyd assumes a constant demand rate? If required, round your answer up to the nearest whole number. r = fill in the blank 1 Suppose that an analysis of Floyd's muffler demand shows that the lead-time demand follows a normal probability distribution with µ = 12 and σ = 2.2. If Floyd's management can tolerate one stock-out per year, what is the revised reorder point? If required, round your answer up to the nearest whole number. r = fill in the blank…

A student was interested in the impact of nutrition and exercise on mental health. She recruited a sample of 80 individuals. She divided the participants into 4 groups. One group was a control group. There was no treatment for this group. The second group was the diet group. These participants followed a strict diet that was designed by a dietitian. The nutrients in the diet were optimized for each individual. The third group was an exercise group. These participants worked with a personal trainer on an individualized exercise plan. The fourth group was the exercise and diet group. This group had both the dietitian and personal trainer intervention. After 3 weeks of treatment (or control), She measured their mental health with the Warwick-Edinburgh Mental Well-being Scale (WEMWBS). Some of the information is included in the ANOVA table below but I spilled a coffee on the output and the student already deleted the raw data...oh, no!! Given the ANOVA table below, what is the F-statistic?…