Please Answer Quality Management Question A milling machine has an expected life of 10 years from the time it is installed into a production line. Assume the exponential distribution is appropriate. What is the probability that the machine will fail between 5 and 12 years after being installed into the production line? Suppose the three milling machines were designed in parallel into the production line system. What is the probability that the production line system will survive 10 years?
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Please Answer
A milling machine has an expected life of 10 years from the time it is installed into a production line. Assume the exponential distribution is appropriate. What is the probability that the machine will fail between 5 and 12 years after being installed into the production line? Suppose the three milling machines were designed in parallel into the production line system. What is the probability that the production line system will survive 10 years?
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.a factory that produces a small number of items per day. In about 30% of working days the factory produces 7 units of the product, in 45% of working days it produces 8 units, and the rest of working days it produces 9 units. After production is completed, each unit is thoroughly inspected. Each unit fails inspection with probability ??. If two or more units fail inspection on the same day, the factory closes for a week to re-calibrate equipment. Say the factory opens today after being closed for a week, write a mathematical expression to calculate the probability that the factory will remain open at least 30 days before closing again.The number of yearly breakdowns for the power generator observed over the past 20 years at Orlando Utilities is presented in the following data: Number of breakdowns 0 1 2 3 4 5 6 Number of years in which breakdowns occurred 3 3 5 3 4 1 1 For Orlando Utilities, the expected number of breakdowns = (round your response to two decimal places).
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- An office manager has received a report from a consultant that includes a section on equipment replacement. The report indicates that scanners have a service life that is normally distributed with a mean of 41 months and a standard deviation of 4 months. On the basis of this information, determine the percentage of scanners that can be expected to fail in the following time periods:a. Before 38 months of serviceb. Between 40 and 45 months of servicec. Within ± 2 months of the mean lifeday, a FedEx competitor processes approximately 70,000 shipments. Suppose that they use the same Service Quality Index as FedEx and identified the following numbers of errors during a five-day week (see the “FedEx: Measuring Service Performance” box): These values are hypothetical and do not reflect any real company’s actual performance. Complaints reopened: 125 Damaged packages: 18 International: 102 Invoice adjustments: 282 Late pickup stops: 209 Lost packages: 2 Missed proof of delivery: 26 Right date late: 751 Traces: 115 Wrong day late: 15 Compute the Service Quality Indicator by finding the weighted sum of errors as a percentage of total shipments.A weather satellite has an expected life of 10 years from the time it is placed into earth orbit. Determine its probability of no wear-out before each of the following lengths of service. Assume theexponential distribution is appropriate.a. 5 years b. 12 years c. 20 years d. 30 years
- An operation consists of two steps , the first of which has a reliability of 97% and the second a reliability of 99%. What is the probability that the operation will fail? please I need full explanationA product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must function. Two of the parts have a 0.96 probability of functioning, and two have a probability of 0.99. (Leave your answers in 4 decimal places).The warehouse management system (WMS) of RoyaTech's Delaware Valley warehouse tracks service level at the warehouse. A service level failure at the warehouse is an event where a customer's order could not be shipped out in full by the promised shipping time. RoyalTech's ordering system prevents customers from placing orders on products that are not in-stock at the warehouse. Therefore, we can make the statement that "the WMS is guaranteed to show 100% service level at the warehouse." Choose the most appropriate statement in response: O True, because orders will be placed only for products that are available. O False, because service level can never be 100%. O False, because resource constraint or human error may delay the shipping even though inventory is available in the system. O False, because WMS calculations are faulty.