What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?
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An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelectronic firms: A, B, and C. The quality-control department of the company has determined that 5% of the microprocessors produced by firm A are defective, 9% of those produced by firm B are defective, and 7.5% of those produced by firm C are defective. Firms A, B, and C supply 35%, 30%, and 35%, respectively, of the microprocessors used by the company. What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelectronic firms: A, B, and C. The quality-control department of the company has determined that 3% of the microprocessors produced by firm A are defective, 4% of those produced by firm B are defective, and 1.5% of those produced by firm C are defective. Firms A, B, and C supply 35%, 20%, and 45%, respectively, of the microprocessors used by the company. What is the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor?According to a report by the U.S. Environmental Protection Agency (EPA), containers and packaging generated about 34.6% of all municipal solid waste (MSW) in the country in a recent year. This was the largest category of such waste. The next highest group was nondurable goods, which accounted for 25.4 % of waste. This was followed by durable goods at 10.9%, yard trimmings/other at 13.4%, and food scraps at 15.7%. Suppose last year, one large midwestern U.S. city processed 303 (1,000 tons) of MSW broken down by waste type as follows: Waste Type Containers and Packaging Nondurable Goods Durable Goods Yard Trimmings/Other Food Scraps MSW (1,000 tons) 129 73 28 45 28 Determine if there is a significant difference between the distribution of municipal solid waste in this midwestern city and the distribution released by the EPA a. Specify the hypotheses. Ho HA b. Calculate the test statistic and p-value. Round intermediate calculations to AT LEAST 4 decimal places and final answers to 3…
- An automobile manufacturer obtains the microprocessors used to regulate fuel consumption from threemicroelectronic firms: A, B and C. The quality control department of the company has determined that 1% of themicroprocessors from A are defective, 2% of those from B are defective and 1.5% of those from C are defective.Firm A supplies 45%, Firm B supplies 25% and Firm C supplies 30% of the microprocessors. What is the probability that a randomly selected automobile manufactured by the company has a defectivemicroprocessor?An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. Company A makes 80% of the ELTs, Company B makes 15% of them and Company C makes the other 5%. The ELTs made by Company A have a 7.8% rate of defects, the Company B ELTs have a 6.3% rate of defects and the Company C ELTs have 6.4% rate of defects. If a randomly selected ELT is tested and found to be defective, find is the probability that it was made by Company A? Give your answer to three decimal places.An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. The Altigauge Manufacturing Company makes 80% of the ELTS, the Bryant Company makes 15% of them, and the Chartair Company makes the other 5%. The ELTS made by Altigauge have a 4% rate of defects, the Bryant ELTS have a 6% rate of defects, and the Chartair ELTS have a 9% rate of defects (which helps to explain why Chartair has the lowest market share). a. If an ELT is randomly selected from the general population of all ELTS, find the probability that it was made by the Altigauge Manufacturing Company. b. If a randomly selected ELT is then tested and is found to be defective, find the probability that it was made by the Altigauge Manufacturing Company. c. What is the probablity that a randomly selected ELT is defective?
- An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. The Altigauge Manufacturing Company makes 80% of the ELTS, the Bryant Company makes 15% of them, and the Chartair Company makes the other 5%. The ELTS made by Altigauge have a 4% rate of defects, the Bryant ELTS have a 6% rate of defects, and the Chartair ELTS have a 9% rate of defects (which helps to explain why Chartair has the lowest market share). i) If an ELT is randomly selected from the general population of all ELTS, find the probability that it was made by the Altigauge Manufacturing Company. If a randomly selected ELT is then tested and is found to be ii) defective, find the probability that it was made by the Altigauge Manufacturing Company.This exercise requires the use of technology. Four sectors of the U.S. economy are (1) livestock and livestock products, (2) other agricultural products, (3) forestry and fishery products, and (4) agricultural, forestry, and fishery services. Suppose that in 1977 the input-output table involving these four sectors was as follows (all figures are in millions of dollars). Determine how these four sectors would react to an increase in demand for livestock (Sector 1) of $3,000 million, how they would react to an increase in demand for other agricultural products (Sector 2) of $3,000 million, and so on. (Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.) X X X X To 1 From 1 11,937 2 26,649 3 4 2 9 109 0 0 0 439 5,423 10,952 3,002 Total Output 97,795 120,594 14,642 47,473 3 4,285 4 855 4,744 61 216This exercise requires the use of technology.Four sectors of the U.S. economy are (1) livestock and livestock products, (2) other agricultural products, (3) forestry and fishery products, and (4) agricultural, forestry, and fishery services. Suppose that in 1977 the input-output table involving these four sectors was as follows (all figures are in millions of dollars).Determine how these four sectors would react to an increase in demand for livestock (Sector 1) of $1,000 million, how they would react to an increase in demand for other agricultural products (Sector 2) of $1,000 million, and so on. (Round your answers to two decimal places. Let the columns of the matrix be given in millions of dollars.) To 1 2 3 4 From 1 11,937 9 109 855 2 26,649 4,285 0 4,744 3 0 0 439 61 4 5,423 10,952 3,002 216 Total Output 97,795 120,594 14,642 47,473