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- A binomial experiment is UDC in which there are exactly __________ outcome. One outcome is called __________ , and the other is called ___________.A quality control engineer inspects a random sampleof two hand-held calculators from each incoming lot of size 18 and accepts the lot if they are both in good work-ing condition; otherwise, the entire lot is inspected with the cost charged to the vendor. What are the probabilitiesthat such a lot will be accepted without further inspectionif it contains(a) 4 calculators that are not in good working condition;(b) 8 calculators that are not in good working condition;(c) 12 calculators that are not in good working condition?A CEO of a multihospital system is planning to expand operations into various states. It will take several years to get certificate of need (CON) approvals so that the new facilities can be constructed. The eventual cost (in millions of dollars) of building a facility will differ among states, depending upon finances, labor, and the economic and political climate. An outside consulting firm estimated the costs for the new facilities as based on declining, similar, or improving economies, and the associated probabilities as shown in the Table below. Decision alternatives Declining Same Improving Kentucky 22.00 19.00 15.00 Maryland 19.00 18.50 18.00 North carolina 19.50 17.00 15.50…
- 5. The guidance system of a ship is controlled by a computer that has three major modules. In order for the computer to function properly, all three modules must function. Two of the modules have reliabilities of .97, and the other has a reliability of .99. a. What is the reliability of the computer? b. A backup computer identical to the one being used will be installed to improve overall reli- ability. Assuming the new computer automatically functions if the main one fails, determine the resulting reliability. c. If the backup computer must be activated by a switch in the event that the first computer fails, and the switch has a reliability of .98, what is the overall reliability of the system? (Both the switch and the backup computer must function in order for the backup to take over.)In a manufacturing process, lots having 10%, 12%, 14% or 16 defectives are produced according to the respective probabilities 0.2, 0.35, 0.15 and 0.3. Three customers have contracts to receive lots from the manufacturer. The contracts specify that the percentages of defectives in lots shipped to customers A, B and C should not exceed 10, 12 and 14, respectively. If a lot has a higher percentage of defectives that stipulated, a penalty of $ 200 per percentage point is incurred. On the other hand, supplying better quality than required costs the manufacturer $150 per percentage point. If the lots are not inspected prior to shipment, which customer should have the highest priority for receiving the order?4. Suppose that an insurance company classifies people into one of three classes good risks, average risks, and bad risks. Their records indicate that the probabilities that good, average, and bad risk persons will be involved in an accident over a 1-year span are, respectively, .05, .15, and .30. If 20 percent of the population are “good risks,” 50 percent are “average risks,” and 30 percent are “bad risks,” what proportion of people have accidents in a fixed year? If policy holder A had no accidents in 1987, what is the probability that he or she is a good (average) risk?