공업통계학 principles of statistics for engineers and scientists 연습문제 풀이
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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.
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1. The lifetime (in days) of a certain electronic component that operates in a high-temperature environment is lognormally distributed with and .
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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?
공업통계학 principles of statistics for engineers and scientists 연습문제 풀이
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?
5. A geneticist is studying two genes. Each gene can be either dominant or recessive. A sample of 100 individuals is categorized as follows.
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9. A system contains two components, C and D, connected in parallel as shown in the diagram.
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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 func
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.
8. Elongation (in %) of steel plates treated with aluminum are random with probability density function
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
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11. The concentration of a reactant is a random variable with probability density function
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.
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.
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.
9. A system contains two components, C and D, connected in parallel as shown in the diagram.
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.
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.
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5. A geneticist is studying two genes. Each gene can be either dominant or recessive. A sample of 100 individuals is categorized as follows.
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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
5. A certain type of component is packaged in lots of four. Let X represent the number of properly func
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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.
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
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설명
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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
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 .
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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.
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5. Scores on a standardized test are approximately normally distributed with a mean of 460 and a standard deviation of 80.
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다.
