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2. (10pt) The initial cost of a machine is 3. The lifetime of the machine has...
2. (10pt) The initial cost of a machine is 3. The lifetime of the machine has an exponential dist...
2. (10pt) The initial cost of a machine is 3. The lifetime of the machine has an exponential distribution with a mean of 3 years. The manufacturer is considering offering the following warranty. - if the machine fails within 1 year, the full purchase price is refunded. if the machine fails after 1 year but before 2 years, 3/4 of the purchase price is refunded. price is refunded, an
The lifetime of a particular brand of television follows the exponential distribution and has an average...
The lifetime of a particular brand of television follows the exponential distribution and has an average lifetime of 7 years. If the manufacturer provided a warranty that replaces any television that fails within one year, what proportion of televisions will the manufacturer need to replace?
A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of ea...
A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of each component follows an exponential distribution with a mean lifetime of 2 years. Determine the probability the machine is still operating after 1.5 years. Suppose the machine in the previous problem requires all three of the components to operate. If the lifetime of each component follows...
The lifetime, in years, of a gearbox operating continuously has a Weibull distribution with λ = 0...
The lifetime, in years, of a gearbox operating continuously has a Weibull distribution with λ = 0.1 and k = 2. The purchase price of the gearbox is $1000. The manufacturer warranties the gearbox of (a) refunding the entire purchase price if the gearbox fails during its first year of operation, and (b) refunding 40% of the purchase price if the gearbox fails during its second year of operation. What is the expected refund amount per gearbox?
The lifetime of a printer costing 200 is exponentially distributed with mean 2 years. The manufacturer...
The lifetime of a printer costing 200 is exponentially distributed with mean 2 years. The manufacturer agrees to pay a full refund to a buyer if the printer fails during the first year following its purchase, and a one-half refund if it fails during the second year. If the manufacturer sells 100 printers, how much should it expect to pay in refunds? A. 6,321 B. 7,358 C. 7,869 D. 10,256 E. 12,642
Problem 3. A video cassette recorder manufacturer is so certain of its quality control that it...
Problem 3. A video cassette recorder manufacturer is so certain of its quality control that it is offering a complete replacement warranty if a recorder fails within 2 years. Based upon compiled data, the company has noted that only 3 percent of its recorders fail during the first year, whereas 2 percent of the recorders that survive the first year will fail during the second year. The warranty does not cover replacement recorders. (a) Formulate the evolution of the status...
Machine “A” has 3 components with independent exponential lifetimes (means= 2, 3 & 5 years). ...
Machine “A” has 3 components with independent exponential lifetimes (means= 2, 3 & 5 years). The machine functions if & only if all 3components function. Machine “B” has 2 components with independent exponential lifetimes (means= 5 & 7years). This machine operates if& only if both components function. Determine the probability that, in machine A, the component with the lowest expected lifetime outlasts both of the other components. (a) 0.1482. (b) 0.1696. (c) 0.2134. (d) 0.2387. (e) 0.2516
The time until failure for an electronic switch has an exponential distribution with an average time...
The time until failure for an electronic switch has an exponential distribution with an average time to failure of 4 years, so that λ = 1/4 = 0.25. (Round your answers to four decimal places.) (a)What is the probability that this type of switch fails before year 3? (b)What is the probability that this type of switch will fail after 5 years? (c) If two such switches are used in an appliance, what is the probability that neither switch fails...
The average life of a certain type of small engine is 10 years, with a standard...
The average life of a certain type of small engine is 10 years, with a standard deviation of 2 years. The manufacturer replaces for free all motors that fail within the warranty period. If you were willing to replace only 3% of failed engines, how long a warranty should you offer? Suppose that the duration of an engine follows a normal distribution. Answer with 4 decimals.
I know the final answer so if your answer does not match will not get thumbs...
I know the final answer so if your answer does not match will
not get thumbs up
Problem 3. A video cassette recorder manufacturer is so certain of its quality control that it is offering a complete replacement warranty if a recorder fails within 2 years. Based upon compiled data, the company has noted that only 3 percent of its recorders fail during the first year, whereas 2 percent of the recorders that survive the first year will fail during...
2. (10pt) The initial cost of a machine is 3. The lifetime of the machine has an exponential distribution with a mean of 3 years. The manufacturer is considering offering the following warranty. - if the machine fails within 1 year, the full purchase price is refunded. if the machine fails after 1 year but before 2 years, 3/4 of the purchase price is refunded. price is refunded, an
A machine has three components that are identical and they operate independently of each other. The machine will operate as long as any one of three of the components is operating, The lifetime of each component follows an exponential distribution with a mean lifetime of 2 years. Determine the probability the machine is still operating after 1.5 years. Suppose the machine in the previous problem requires all three of the components to operate. If the lifetime of each component follows...
Problem 3. A video cassette recorder manufacturer is so certain of its quality control that it is offering a complete replacement warranty if a recorder fails within 2 years. Based upon compiled data, the company has noted that only 3 percent of its recorders fail during the first year, whereas 2 percent of the recorders that survive the first year will fail during the second year. The warranty does not cover replacement recorders. (a) Formulate the evolution of the status...
I know the final answer so if your answer does not match will
not get thumbs up
Problem 3. A video cassette recorder manufacturer is so certain of its quality control that it is offering a complete replacement warranty if a recorder fails within 2 years. Based upon compiled data, the company has noted that only 3 percent of its recorders fail during the first year, whereas 2 percent of the recorders that survive the first year will fail during...
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