Determine the expected life of a new machine if it is replaced when it is either "Operable-major deterioration" or "Inoperable".
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- The mean life of a certain ball bearing can be modeled using a normal distribution with amean of six years and a standard deviation of one year. Determine each of the following:a. The probability that a ball bearing will wear out before seven years of service.Markov process models can be used to describe the probability that a consumer purchasing brand A in one time period 1.will sell brand A in the next period 2. all of the answers are correct. 3.will sell brand A after three time periods 4. will not purchase brand A in the next periodTenTen Company manufactures video recorders. It is so certain of its quality control that it is offering a complete replacement warranty if the set fails within two years. Based upon compiled data, the company has a need that only 1% of its recorders fail during the first year and 5% fail during the second year. The warranty does not cover replaced recorders. a) Formulate this problem as a Markov chain and determine the transition matrix. b) Find the probability that the manufacturer will have to honor the warranty.
- If two variables are highly correlated, does this imply that changes in one cause changes in the other? If not, give at least one example from the real world that illustrates what else could cause a high correlation.Deborah Hollwager, a concessionaire for the Amway cener in Orlando has developed a table of conditional values for the various altenatives(stocking decision) and state of nature (size of crowd) Alternatives large average small large inventory $20,000 $10,000 -$2,000 average inventory $12,000 $12,000 $8000 small inventory $10,000 $6,000 $5,000 probabilities associated with the states of nature are 0.35 for a large crowd, 0.50 for an average crowd, and 0.15 for a small crowd. a) The alternative that provides Deborah the greatest expected monetary value (EMv) is the EMV for this decision is $________ b) For Deborah, the expected value of the perfect information (EVPI)=$______.A 45 kW rated solar power system has its power output and the Solar irradiance on the PV system measured during daylight hours over a day. Based on the following data, create a scatter plot of the power output of the PV system vs the solar irradiance and comment on the relationship between the two. Based on the data, can you tell which season this day was in? Solar Irradiance on the PV system (kW/m²) 0 0.079 0.333 0.571 0.751 0.86 0.914 0.93 0.904 0.803 0.606 0.345 0.054 Power output from the PV system (kW) 0 3.098 12.438 20.124 25.703 28.498 29.587 29.69 28.798 26.264 20.434 12.223 2
- Elon Corporation manufactures parts for an aircraft company. It uses a computerized numerical controlled (CNC) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of 10.024 inch. The CNC process that manufactures these parts has a mean of 1.281 inches and a standard deviation of 0.008 inch. Which of the following statements is true concerning the process capability ratio and process capability index? The process is off center and incapable. The process is centered, but incapable. The process is capable and centered. The process is capable, but off center.Every month a clothing store conducts an inventory and calculates the losses due to theft. The store would like to reduce these losses and is considering two methods to do so: the first is to hire a security guard and the second is to install cameras. The manager of the store has conducted the experiment: During the first 6 months he hired a security guard (method 1) and during the next 6 months he installed cameras (method 2). The monthly losses were reported as follows: Security guard 350 289 407 398 470 259 Cameras 488 301 276 380 421 425 a)Estimate, with 95% confidence level, the expected monthly loss when hiring a security guard. b)Since the cameras are cheaper than the guard, the manager would prefer to install the cameras unless there was enough evidence to infer that the guard was better. Conduct a hypothesis testing to advise what the manager should do? (Assuming equal variances and using α = 0.05)Emenyi Company Limited is considering using Markov analysis to analyze brand switching between three different brands of its Detox medicated soap; Detox White, Detox Green and Detox Orange. The company’s marketing specialist conducted a survey and gathered data which she utilized to estimate the following transition matrix. The matrix shows the probability of moving between brands each month: From White Green OrangeWhite 0.78 0.11 0.11 Green 0.04 0.94 0.02 Orange 0.20 0.04 0.76 The current (month 1) market shares are 50%, 20% and 30% for Detox White, Detox Green and Detox Orange respectively. Required (i) What will be the expected market shares for each of the three brands after two months have elapsed (that is, in month 3)?(ii) What is the long-run prediction for the expected market share for each of the three brands?
- What is NOT true about normal distribution? We can expect approximately 99.7% of the possible outcomes to fall within three standard deviations above and below the mean We can expect approximately half of the possible outcomes to be positive and half to be negative We can expect approximately 95% of the possible outcomes to fall within two standard deviations above and below the mean It is completely defined by two numbers: mean and standard deviation It is bell shaped and symmetricFind the formula for g in terms of f. g(x) = -12 12 2.0 12 2.0 2.0 12 12 2.0 -12 Find the formula for g in terms of f. g(x) = -12can you explain the concept about outputs of coNNNNONication with some martrix model with examples ?