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Given a curve, compute the next
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- One of your duties is the selection and disposal of boxes of obsolete files. According to regulations, ordinary files become obsolete after 24 months, confidential files after 36 months and classified files after 48 months. Which of the following boxes of files can be disposed of: A box containing ordinary files dated 26 months ago and classified files dated 34 months ago. A box containing ordinary files dated 38 months ago and confidential files dated 28 months ago.1st blank: 0.6267, 0.5006, 33, 0.7843 2nd blank: 1.44, 2.25, 1.15, 1.80 3rd blank: 0.7843, 0.6267, 0.5006, 0.4 4th blank: 2.25, 1.80, 1.15, 1.44 5th blank: larger or smaller 6th blank: 0.2689, 0.1293, 0.0145, 0.0378 7th blank: 0.0378, 0.1293, 0.0100, 0.2612 8th blank: flatter and more spread out or more like the z distributionAccording to the United States Census Bureau (2011 data), there are approximately 55,500,000 married couple households in the United State. Every married-couple household is classified into one of three categories:• both native which means that both spouses were born in the U.S.• both foreign which means that both spouses were born outside of the U.S.• one native, one foreign which means that one spouse was born in the U.S. and one was born outside of the U.S..If 79.5% of married couple households are both native and 13.2% are both foreign, then(a) what percentage of married couple households are one native, one foreign % married couple households are one native, one foreign(b) how many married couple households are one native, one foreign? married couple households are one native, one foreign
- Suppose your school has 1000 students. Why can you be pretty sure that some pair of them will have telephone numbers that end in the same two digits and that they will like the same brand of soda?In a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 20% of those now using public transportation will commute via automobile and 80% will continue to use public transportation. (a) Construct the transition matrix for the Markov chain that describes the change in the mode of transportation used by these commuters. P A T = P A (b) Find the initial distribution vector for this Markov chain. X0 = (c) What percentage of the commuters are expected to use public transportation 6 months…Within a large metropolitan area, 20% of the commuters currently use the public transportation system, whereas the remaining 80% commute via automobile. The city has recently revitalized and expanded its public transportation system. It is expected that 6 months from now 30% of those who are now commuting to work via automobile will switch to public transportation, and 70% will continue to commute via automobile. At the same time, it is expected that 10% of those now using public transportation will commute via automobile and 90% will continue to use public transportation. In the long run, what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)
- Consider two companies with mining rights to the same region. They couldmine in an environmentally friendly manner or agressively. If both mineenvironmentally friendly, profits are 100 million for each in a given year.If they both mine agressively, the government will step in and fine them,meaning that they will make 75 million each. Finally, the government willnot step in if only one of the companies mines agressively, meaning that theaggresive miner will make 120 million while the environmentally friendlyminer will loose out in capacity and make 50 million.a) Write the normal form of the game and point out the Nash equilibriumif the game is played only once. (2)b) What will be the rollback equilibrium if the two companies mine thesame region three years ina row? (2)c) Now assume that the game is repeated infinitely. What rate of returnvalue that will sustain the environmentally friendly strategy as the Nashequilibrium if one of the companies is playing a grim strategy? (3)d) Now…1. How many of the surveyed students plan to take physicsduring their first year?2. How many of the surveyed students do not plan to takebiology, chemistry, or physics during their first year?3. How many of the surveyed students plan to take onlybiology and chemistry during their first year?4. How many of the surveyed students plan to take physics orchemistry during their first year?The market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 40% of the people who do no purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product the next month and in 2 months.
- A software organisation employs 80,000 staff members. 16,000 employees are inthe sales team, 24,000 are in the customer support team and 14,000 are in thesoftware development and HR departments. What percentage of theorganisation’s employees are a part of the finance team, if the size of the financeteam makes up two-fifths of the remainder?4,,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?