공업통계학 principles of statistics for engineers and scientists 연습문제 풀이 - 교육프로그램

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설명 : 공업통계학 principles of statistics for engineers and scientists 3.1 3.2 3.3 3.4 4.1 4.2 4.3 4.4 4.5 장 연습문제 풀이 3.1 4. A system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that both function is 0.88. What is the probability that the system functions? 7. Sixty percent of large purchases made at a certain computer retailer are personal computers, 30% are laptop computers, and 10% are peripheral devices such as printers. As part of audit, one purchase record is sampled at random. 3.2 5. A geneticist is studying two genes. Each gene can be either dominant or recessive. A sample of 100 individuals is categorized as follows. 9. A system contains two components, C and D, connected in parallel as shown in the diagram. 3.3 5. A certain type of component is packaged in lots of four. Let X represent the number of properly functioning components in a randomly chosen lot. Assume that the probability that exactly components function is proportional to ; in other words, assume that the probability mass function of X is given 8. Elongation (in %) of steel plates treated with aluminum are random with probability density function 11. The concentration of a reactant is a random variable with probability density function 3.4 5. A piece of plywood is composed of five layers. The layers are a simple random sample from a population whose thickness has mean 3.50mm and standard deviation 0.10mm. 11. The number of miles traveled per gallon of gasoline for a certain car has a mean of 25 and a standard deviation of 2. The tank holds 20 gallons. SA 15. In the article "An Investigation of the Ca-CO3-CaF2-K2SiO3-SiO2-Fe Flux System Using the submerged Arc Welding Process on HSLA-100 and AISI-1018 Steels"(G.Fredricson, M.S.thesis, Colorado School of Mines, 1992), the carbon equivalent P of a weld metal is defined to be a linear combination of the weight percentages of carbon (C), manganese(Mn), copper(Cu), chromium(Cr), silicon(Si), nickel(Ni), molybdenum(Mo), vanadium(V), and boron(B). The carbon equivalent is given by 4.1 5. Of all the weld failures in a certain assembly, 85% of them occur in the weld metal itself, and the remaining 15% occur in the base metal. A sample of 20 weld failures is examined. 13. A certain large shipment comes with a guarantee that it contains no more than 15% defective items. If the proportion of defective items in the shipment is greater than 15%, the shipment may be returned. You draw a random sample of 10 items. Let X be the number of defective items in the sample. 4.2 7. A sensor network consists of a large number of microprocessors spread out over an area in communication with each other and with a base station. In a certain network, the probability that a message will fail to reach the base station is 0.005. Assume that during a particular day, 1000 messages are sent. 10. You have received a radioactive mass that is claimed to have a mean decay rate of at least 1 particle per second. If the mean decay rate is less than 1 per second, you may return the product for a refund. Let X be the number of decay events counted in 10 seconds. 4.3 5. Scores on a standardized test are approximately normally distributed with a mean of 460 and a standard deviation of 80. 4.4 1. The lifetime (in days) of a certain electronic component that operates in a high-temperature environment is lognormally distributed with and . 4.5 3. A catalyst researcher states that the diameters, in microns, of the pores in a new product she has made follow the exponential distribution with parameter . 6. A radioactive mass emits particles according to a Poisson process at a mean rate of 2 per second. Let T be the waiting time, in seconds, between emissions.

공업통계학 principles of statistics for engineers and scientists 3.1 3.2 3.3 3.4 4.1 4.2 4.3 4.4 4.5 장 연습문제 풀이 3.1 4. A system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that both function is 0.88. What is the probability that the system functions? 7. Sixty percent of large purchases made at a certain computer retailer are personal computers, 30% are laptop computers, and 10% are peripheral devices such as printers. As part of audit, one purchase record is sampled at random. 3.2 5. A geneticist is studying two genes. Each gene can be either dominant or recessive. A sample of 100 individuals is categorized as follows. 9. A system contains two components, C and D, connected in parallel as shown in the diagram. 3.3 5. A certain type of component is packaged in lots of four. Let X represent the number of properly functioning components in a randomly chosen lot. Assume that the probability that exactly components function is proportional to ; in other words, assume that the probability mass function of X is given 8. Elongation (in %) of steel plates treated with aluminum are random with probability density function 11. The concentration of a reactant is a random variable with probability density function 3.4 5. A piece of plywood is composed of five layers. The layers are a simple random sample from a population whose thickness has mean 3.50mm and standard deviation 0.10mm. 11. The number of miles traveled per gallon of gasoline for a certain car has a mean of 25 and a standard deviation of 2. The tank holds 20 gallons. SA 15. In the article "An Investigation of the Ca-CO3-CaF2-K2SiO3-SiO2-Fe Flux System Using the submerged Arc Welding Process on HSLA-100 and AISI-1018 Steels"(G.Fredricson, M.S.thesis, Colorado School of Mines, 1992), the carbon equivalent P of a weld metal is defined to be a linear combination of the weight percentages of carbon (C), manganese(Mn), copper(Cu), chromium(Cr), silicon(Si), nickel(Ni), molybdenum(Mo), vanadium(V), and boron(B). The carbon equivalent is given by 4.1 5. Of all the weld failures in a certain assembly, 85% of them occur in the weld metal itself, and the remaining 15% occur in the base metal. A sample of 20 weld failures is examined. 13. A certain large shipment comes with a guarantee that it contains no more than 15% defective items. If the proportion of defective items in the shipment is greater than 15%, the shipment may be returned. You draw a random sample of 10 items. Let X be the number of defective items in the sample. 4.2 7. A sensor network consists of a large number of microprocessors spread out over an area in communication with each other and with a base station. In a certain network, the probability that a message will fail to reach the base station is 0.005. Assume that during a particular day, 1000 messages are sent. 10. You have received a radioactive mass that is claimed to have a mean decay rate of at least 1 particle per second. If the mean decay rate is less than 1 per second, you may return the product for a refund. Let X be the number of decay events counted in 10 seconds. 4.3 5. Scores on a standardized test are approximately normally distributed with a mean of 460 and a standard deviation of 80. 4.4 1. The lifetime (in days) of a certain electronic component that operates in a high-temperature environment is lognormally distributed with and . 4.5 3. A catalyst researcher states that the diameters, in microns, of the pores in a new product she has made follow the exponential distribution with parameter . 6. A radioactive mass emits particles according to a Poisson process at a mean rate of 2 per second. Let T be the waiting time, in seconds, between emissions.

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