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- In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 73% of the valves meet the specification, 21% are reground, and 6% are scrapped. Furthermore, assume that of those valves that are reground, 46% meet the specification, and 54% are scrapped. Given that a valve meets the specification, what is the probability that it was ground only once?In the process of producing engine valves, the valves are subjected to a first grind. Valves whose thicknesses are within the specification are ready for installation. Those valves whose thicknesses are above the specification are reground, while those whose thicknesses are below the specification are scrapped. Assume that after the first grind, 74% of the valves meet the specification, 18% are reground, and 8% are scrapped. Furthermore, assume that of those valves that are reground, 88% meet the specification, and 12% are scrapped. Draw a tree diagram to represent the situation Find the probability that a valve is ground only once Given that a valve is not reground, what is the probability that it is scrapped? Find the probability that a valve is scrapped Given that a valve is scrapped, what is the probability that it was ground twice? Find the probability that the valve meets the specification (after either the first or second grind). Given that a valve meets the specification…The Center for Information Technology at State Univer-sity has outgrown its office in Bates (B) Hall and is mov-ing to Allen (A) Hall, which has more space. The move will take place during the three-week break between the end of summer semester and the beginning of fall semes-ter. Movers will be hired from the university’s physical plant to move the furniture, boxes of books, and files thatthe faculty will pack. The center has hired a local retailcomputer firm to move its office computers so they willnot be damaged. Following is a list of activities, theirprecedence relationships, and probabilistic time estimatesfor this project:Determine the earliest and latest start and finish times, thecritical path, and the expected project duration. What is theprobability the center will complete its move before thestart of the fall semester?
- In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent.(a) If we wish to compute the probability thatxnumber of chips out of a production run of sizenaredowngraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that 5 chips out of a production run of 40 are downgraded. (c) Compute the probability that between 3 and 5 (inclusive)orbetween 2 and 8 (inclusive) aredowngraded. (d) Graph the probability mass function forxnumber of…In the construction process for solid-state flash memory drives (thumb drives), nearly all drives areconstructed with a large potential amount of storage space, and are sold base on the actual amountof memory that forms correctly during the process (For example, drives that are designed to store 64gb but contain a large number of bad sectors will instead be formated and sold as 32 gb). Consider amanufacturing process where every chip has a 21% of having enough bad sectors to be downgraded,and these errors are random and independent. (a) If we wish to compute the probability that x number of chips out of a production run of size n are downgraded, do we have a probability distribution that will work for that? Are the assumptionsfor that met? Explain. (b) Compute the probability that between 3 and 5 (inclusive)or between 2 and 8 (inclusive) are downgraded. (c) Graph the probability mass function for x number of chips out of a production run of 10 aredowngraded.The head of the department of management at State University has noticed that the four secretaries in the departmentaloffice seem to spend a lot of time answering questions fromstudents that could better be answered by the college advising office, by faculty advisors, or simply from the availableliterature; that is, course schedules, catalogues, the studenthandbook, and so on. As a result, the department head isconsidering remodeling the office with cubicles so studentsdo not have easy access to the secretaries. However, beforeinvesting in this project the head has decided to conduct awork sampling study to determine the proportion of timethe secretaries spend assisting students. The head arrangedfor a graduate assistant to make observations for the worksample, but the graduate student’s schedule enabled her tomake only 300 random observations in the time allotted forthe study. The results of the work sampling study showedthat the secretaries assisted students 12% of the time, somewhat…
- The vintage Restaurant is located on Captiva Island, a resort community located near Fort Meyers, Florida. The restaurant, which is owned and operated by Karen Payne, has just completed its third year of operation. During this time, Karen sought to establish a reputation for the restaurant as a high-quality dining establishment that specializes in fresh seafood. The efforts made by Karen and her staff have proved successful, and her restaurant has become one of the best and fastest-growing restaurants on the island. Karen has just concluded that to plan better for the growth of the restaurant in the future, it is necessary to develop a system that will enable her to forecast food and beverage sales by the month for up to 1 year in advance. Karen has the following data available on the total food and beverage sales that were realized during the previous 3 years of operation. Food and Beverage Sales for the Vintage Restaurant ($1000s) Month First Year Second Year Third YearJanuary 242…Vermont-based Green Mountain Coffee Roasters dominates the market for single-serve coffee in the United States, with its subsidiary Keurig accounting for approximately 70% of sales ("Rivals Try to Loosen Keurig's Grip on Single-Serve Coffee Market," Chicago Tribune, February 26). But Keurig's patent on K-cups, the plastic pods used to brew the coffee, is expected to expire this year, allowing other companies to better compete. Suppose a potential competitor has been conducting blind taste tests on its blend and finds that 47% of consumers strongly prefer its French Roast to that of Green Mountain Coffee Roasters, After tweaking its recipe, the competitor conducts a test with 144 tasters, of which 72 prefer its blend. The competitor daims that its new blend is preferred by more than 47% of consumers to Green Mountain Coffee roasters' French Roast. What is the value of the appropriate test statistic to test this claim 4. A.t143= 0.721 B.Z = 0.721 C.t143 = 1.96 D.Z =1.96According to http://www.gasandoil.com/goc/news/ntl50398.htm , accessed on Feb 2, 2005, “17-12-04 Jamaica has found signs of oil in 10 exploratory wells drilled into deep underground structures. Now it's come to Houston looking for oil companies willing to help the island nation, which depends heavily on tourism, bauxite and alumina, to become the world's next oil and natural gas producer. Hopeful Jamaican officials traveled to Houston promoting the nation's first formal license round, offering 22 offshore blocks and four on-shore blocks. "There are plenty of reserves yet to be found -- exploration in new frontiers is now warranted," said Raymond Wright of the Petroleum Corporation of Jamaica, reflecting on the world's supply dilemma. Oil explorers order seismic tests to determine whether oil is likely to be found in a certain drilling area. These seismic tests have a known reliability: When oil exists the tests indicate so 85% of the time and when oil does not exist the…
- IN excel if possibleGreat Grasslands Grains, Inc. (GGG) manufactures and sells a wide variety of breakfast cereals. GGG’sproduct development lab recently created a new cereal that consists of rice flakes and banana-flavoredmarshmallows. The company’s marketing research department has tested the new cereal extensivelyand has found that consumers are enthusiastic about the cereal when 16-ounce boxes contain at least1.6 ounces and no more than 2.4 ounces of the banana-flavored marshmallows.As GGG prepares to begin producing and selling 16-ounce boxes of the new cereal, which it has namedGo Bananas management is concerned about the amount of banana-flavored marshmallows. It wants tobe careful not to include less than 1.6 ounces or more than 2.4 ounces of banana-flavoredmarshmallows in each 16-ounce box of Go Bananas. Tina Finkel, VP of Production for GGG, hassuggested that the company measure the weight of banana-flavored marshmallows in a random sampleof 25 boxes of Go Bananas on a weekly…The Pharoah Inc., a manufacturer of low-sugar, low-sodium, low-cholesterol TV dinners, would like to increase its market share in the Sunbelt. In order to do so, Pharoah has decided to locate a new factory in the Panama City area. Pharoah will either buy or lease a site depending upon which is more advantageous. The site location committee has narrowed down the available sites to the following three very similar buildings that will meet their needs.Building A: Purchase for a cash price of $ 618,100, useful life 26 years.Building B: Lease for 26 years with annual lease payments of $ 70,340 being made at the beginning of the year.Building C: Purchase for $ 653,200 cash. This building is larger than needed; however, the excess space can be sublet for 26 years at a net annual rental of $ 6,540. Rental payments will be received at the end of each year. The Pharoah Inc. has no aversion to being a landlord.Click here to view factor tablesIn which building would you recommend that The…A group of medical professionals is considering theconstruction of a private clinic. If the medical de-mand is high (i.e., there is a favorable market for theclinic), the physicians could realize a net profit of$100,000. If the market is not favorable, they couldlose $40,000. Of course, they don’t have to proceedat all, in which case there is no cost. In the absenceof any market data, the best the physicians can guessis that there is a 50–50 chance the clinic will be suc-cessful. Construct a decision tree to help analyze thisproblem. What should the medical professionals do?