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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- 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 $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 47,473The 2019-2020 flu season was especially tough. By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. a.What was the proportionate mortality rate from flu during the 2019-2020 flu season? b.What was the case fatality rate from flue during the 2019-2020 flu season?In many colleges, educators are changing their approach to instruction from a “teacher/lecture-centeredmodel” to a “student-centered model” where students learn in a laboratory environment in which lectureis deemphasized and students can proceed at a pace suitable to their learning needs. In once schoolwhere this model was being introduced, of the 743 students who enrolled in the traditional lecture model, 364 passed; of the 567 in the student-centered model, 335 passed. Use a 0.05 level ofsignificance to test the claim that student-centered model results in a higher pass rate than the traditionalmodel?
- Two bicycle manufacturers, Alpha Cycles (A) and Best Bikes (B), buy parts from the suppliers Firm Frames (F), Great Gears (G) and Happy Handlebars (H). During the year 2019: 50% of the frames from Firm Frames (F) were sold to Alpha Cycles (A) and 50% were sold to Best Bikes (B). 75% of the gear sets from Great Gears (G) were sold to Alpha Cycles (A) and 25% were sold to Best Bikes (B). 40% of the handlebars from Happy Handlebars (H) were sold to Alpha Cycles (A) and 60% were sold to Best Bikes (B). Draw a network diagram with input nodes F, G and H, and output nodes A and B, that represents the proportion of parts sold from each supplier to each bicycle manufacturer Write down the matrix that represents this network. Use the matrix that you found to determine how many parts were sold to Alpha Cycles (A) during 2019, if the total number of parts sold to the two bicycle manufacturers by Firm Frames (F), Great Gears (G) and Happy Handlebars (H) was 240, 320 and 300 parts respectively.The 2019-2020 flu season was especially tough.By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. c.What was the flu-related mortality rate during the 2019-2020 flu season? d.What is the all-cause mortality rate during the 2019-2020 flu season? e.In a country with an age distribution that is much younger than in the US, the proportionate mortality rate from flu in 2019 was 5%. Based on this information alone, can we determine that the risk of dying from flu in 2019 was higher in this country compared to the US? Why or why not?A biologist wonders if the life span of bats will be affected by two new food sources from invasive species moving into an area. To conduct the experiment, the biologist needs three treatment groups: a group where the diet will not include invasive species (control), a group where the diet will include one invasive species (treatment group 1), and another group where the diet will include the other invasive species (treatment group 2). The biologist chooses the first cloud-free night and catches the first 18 bats that fly out of a cave, placing them into three equal groups of six bats. To decide the treatment for each group, the biologist places three slips of paper labeled control, treatment group 1, and treatment group 2 in a hat and randomly selects 2 slips of paper. The first piece of paper gives the treatment for the first group, the second piece of paper gives the treatment for the second group, and the remaining treatment is given to the third group. Which component is…
- 1The operations manager for an appliance manufacturer wants to determine the optimal length of time for the washing cycle of a household clothes washer. An experiment is designed to measure the effect of detergent brand and washing cycle time on the amount of dirt removed from standard household laundry loads. Four brands of detergent (A,B,C,D) and four levels of washing cycles (18, 20, 22, and 24 minutes) are specifically selected for analysis. 32 standard household laundry loads (having equal weight and dirt) are randomly assigned to the 16 detergent-washing cycle time combinations. The results (in pounds of dirt removed) are: Washing Cycle Time (in Minutes) Brand 18 20 22 24 A 0.11 0.13 0.17 0.17 0.09 0.13 0.19 0.18 B 0.12 0.14 0.17 0.19 0.1 0.15 0.18 0.17 0.08 0.16 0.18 0.2 0.09 0.13 0.17 0.16 0.11 0.12 0.16 0.15 0.13 0.13 0.17 0.17 Perform a Two-way Analysis of Variance with Replication in Excel and output the ANOVA table assuming a 5% level of significance. Choose the correct…An industrial concern has experimented with several different mixtures of the fourcomponents—magnesium, sodium nitrate, strontium nitrate, and a binder—that comprise arocket propellant. The company has found that two mixtures, in particular, give higher flare illumination values than the others. Mixture 1 consists of a blend composed of the proportions.40, .10, .42, and .08, respectively, for the four components of the mixture; mixture 2 consists ofa blend using the proportions .60, .25, .10, and .05. Twenty different blends (10 of each mixture)are prepared and tested to obtain the flare-illumination values. These data appear here (in unitsof 1,000 candles).Mixture 1 185 192 201 215 170 190 175 172 198 202Mixture 2 221 210 215 202 204 196 225 230 214 217a. Plot the sample data. Which test(s) could be used to compare the meanillumination values for the two mixtures?b. Give the level of significance of the test and interpret your findings
- Digi-Key is a large distributor (but not manufacturer) of electronic components. They receive shipments of components from manufacturers and sell them on to other manufacturers, consumers, and hobbyists. An electrical fuse is generally a small device meant to protect other electrical components from damaging surges of electrical current. Suppose Digi-Key receives shipments of a particular fuse in boxes of 20,000 fuses. The manufacturer of this fuse claims that just 1 out of every 100 fuses is defective. Digi-Key draws 50 fuses randomly from each box and tests them using an error-free method. If it finds 2 or more defective fuses in its sample of 50 fuses, it sends that box back to the manufacturer and gets a replacement box. (Because there are 20,000 fuses in a box--much bigger than 50--you may treat this as if it is sampling with replacement even though it is not really.) Compute the probability that Digi-Key sends a box back to the manufacturer if the manufacturer's claim (that…The parts produced at a certain factory are produced by three machines: Machine X, Machine Y, and Machine Z. 2% of the parts produced by Machine X don't pass quality control inspection, 2% of the parts produced by Machine Y don't pass quality control inspection, and 4% of the parts produced by Machine Z don't pass quality control inspection. Machine X produces 24% of the factory's total output, Machine Y produces 35% of the factory's total output, and Machine Z produces 41% of the factory's total output. Use this information to answer the following questions. d. What is the probability that a part is produced by Machine X and doesn't pass quality control inspection? Enter your answer in decimal form and round to four decimal places if rounding is necessary.
