16- Öklid iç çarpımına göre aşağıdaki vektörlerden hangisi å = (1,1,–1) vektörüne diktir? %3D a) O (0, 1, 1) b)O (1,-1,1) c)O Hiçbiri d) O (0,-1,0) e) O(-1,-1,1) O Boş bırak
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- 3. (a) A supermarket compiled the following information regarding 30 of its employees. 8worked in the produce department, 9 stacked food on shelves, 18 operated the cashregister,4 worked in the produce department and stacked food at different times,5 workedin the produce department and operated the cash register at different times,3 stacked foodand operated the cash register at different times, 2 did all three jobs at different times.How many of the employees;i) Did at least two of these jobs?ii) Worked in produce only?iii) Did only one of the jobs?iv) Stacked shelves or operated the cash register?v) Stacked shelves and operated the cash register but did not work in produce?(b) Total reserves of a non-renewable resource are 250 million tonnes. Annualconsumption, currently at 20 million tonnes per year, is expected to rise by 2% a year.After how many years will stocks be exhausted?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 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?2. A research Development department at Oda manufacturing company determines that 20% of people who purchase their products during any given month will not purchase the next month. On the other hand, 30% of the people-who could not purchase during any given month will purchase in the next month. On a population of 1000 people 100 purchased their products this month. How many will purchase their product. A. Two month? B.next month?
- 2. A research Development department at Oda manufacturing company determines that 20% of people who purchase their products during any given month will not purchase the next month. On the other hand, 30% of the people-who could not purchase during any given month will purchase in the next month. On a population of 1000 people 100 purchased their products this month. How many will purchase their product. A. In the long run?Suppose a man's occupation can be classified as professional, skilled worker, or unskilled worker. Suppose eighty percent of the sons of professional men are professionals, ten percent skilled workers, and ten percent unskilled workers. further suppose that sixty percent of the sons of skilled workers are skilled workers, twenty percent professional, and twenty percent unskilled. finally, in the case of unskilled workers, fifty percent of the sons are unskilled workers and twenty-five percent are in the other two categories. Assume each man has at least one son, and construct a Markov chain by tracing the occupation of a randomly selected son of a particular family over several generations. Construct the transition probabilities matrix. Find the probability that the randomly selected grandchild of an unskilled worker is a professional worker.A manufacturer of a robotic system a particular microchip, XG45D from 3 suppliers: Xullion electronics (30%), Sygus Systems (20%), and NESW technologies (50%). Historically, 3% of the XG45D chips from Xullion electronics have been found to be defective, 5% of the XG45D chips from Sygus System have been found to be defective, and 2% of the XG45D chips from NESW technologies have been found to be defective. When the XG45D microchips arrive at the manufacturer, they are placed randomly in a bin. A worker randomly selects the first XG45D microchip from the bin for installation in a robot and finds it defective. 1.1 What is the probability that it was manufactured by Sygus Systems? 1.2 What is the probability that it was manufactured by Xullion electronics? 1.3 Given that another XG45D microchip randomly picked from the bin by the same worker was not defective, what is the probability that it was manufactured by NESW technologies? 1.4 Suppose that the third XG45D microchip randomly picked…
- Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?Players, Managers, Coaches and Medical team for worldwide Hokey competitions - Canada and USA 49 Women USA 20 23 80 5.1 66 2 70 20 Highly Satisfied 58 Women USA 20 26 83 5.9 73 4 74 21 Satisfied 69 Women USA 21 24 87 5.4 66 2 72 20 Neutral 99 Men USA 21 24 78 6.0 81 2 73 20 Unsatisfied 75 Men USA 25 25 82 6.2 88 3 71 21 Highly unsatisfied 12 Women Canada 29 26 70 5.6 59 3 73 21 Highly Satisfied 93 Men USA 30 24 82 6.0 81 2 73 20 Unsatisfied 66 Women USA 30 29 57 5.3 61 7 72 21 Highly Satisfied 8 Women Canada 30 31 68 5.8 71 6 76 22 Highly unsatisfied 81 Men USA 31 25 86 6.4 107 3 72 21 Highly Satisfied 52 Women USA 33 26 78 5.4 67 4 74 20 Neutral 78 Men USA 33 26 65 6.1 89 3 73 20 Neutral 9 Women Canada 35 27 70 5.7 63 5 72 21 Satisfied 20 Women Canada 35 27 80 5.5 65 5 73 20 Satisfied 3 Women Canada 37 28 74 5.8 71 4 71 21 Satisfied 14 Women Canada 37 28 80 5.6 70 3 70 22 Highly unsatisfied 65 Women USA 38 26 78 5.7 75 5…An automobile insurance company classifies applicants by their driving records for the previous three years. Let U = {all applicants}, A = {applicants who have caused accidents}, B = {applicants who have received speeding tickets}, C = {applicants who have been arrested for driving while intoxicated}. Suppose we are given the following information: 3 applicants have caused accidents, received speeding tickets and been arrested for driving while intoxicated. 31 applicants have caused accidents and received speeding tickets. 26 applicants have caused accidents and been arrested for driving while intoxicated. 9 applicants have received speeding tickets and have been arrested for driving while intoxicated. 63 applicantshave caused accidents. 47 applicants have received speeding tickets. 57 applicants have been arrested for driving while intoxicated. There are 120 applicants total. (a)Describe the following set using set theoretic notation: {applicants who have not caused accidents and…
- Suppose the audience for the "Ellen Degeneres Show" was mainly LGBT people. Would this imply that these LGBT people are acting collectively?#4 but #3 is involved with #4The U.S. Department of Transportation reported that during November, 83.4% of Southwest Airlines' flights, 75.1% of US Airways' flights, and 70.1% of JetBlue's flights arrived on time (USA Today, January 4, 2007). Assume that this on-time performance is applicable for flights arriving at concourse A of the Rochester International Airport, and that 40% of the arrivals at concourse Aare Southwest Airlines flights, 35% are US Airways flights, and 25% are jetBlue flights. a) Deveiop a joint probability table with three rows (airlines) and two