Math – 213 Problem Set Solve each of the following problems. 1. A coin is tossed four times. What is the probability that at least 2 heads will occur? 2. A pair of dice is rolled. What is the probability that the sum is equal to the following? a. 5 b. 10 c. at most 9 d. at least 8 3. A chip is drawn at random from a jar containing 8 red‚ 2 blue‚ 3 green‚ 4 yellow‚ and 3 white chips. Determine the probability that it is: a. Red b. Yellow or red c. Not orange 4. In a graduating class of 300 students
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Socratic Problem The Socratic problem results from the inability to determine what‚ in the writings of Plato‚ is an accurate portrayal of Socrates’ thought and what is the thought of Plato with Socrates as a literary device. Socrates‚ often credited with founding western philosophy and who was put to death by the democracy of Athens in May‚ 399 BC‚ was Plato’s teacher and mentor; Plato‚ like some of his contemporaries‚ wrote dialogues about his departed teacher. Most of what we know about Socrates comes
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Ecological Problems Chapter 1 Ecology is a very popular word today. But what does it mean? Ecology is a since which studies the relationship between all forms of life on our planet and the environment. This word came from Greek “oikos” which means home. The idea of home includes our whole planet‚ its population‚ Nature‚ animals‚ birds‚ fish‚ insets and all other living beings and even the atmosphere around our planet. Since ancient times Nature has served Man giving everything he needs: air to breathe
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Problem 1 On January 1‚ 2008‚ Arlo Company purchased the following two machines for use in its production process: Machine A: The cash price of this machine was $55‚000. Related expenditures included: sales tax $2‚750‚ shipping costs $100‚ insurance during shipping $75‚ installation and testing costs $75‚ and $90 of oil and lubricants to be used with the machinery during its first year of operation. Arlo estimates that the useful life of the machine is 4 years with a $5‚000 salvage value
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All over the world‚ the principal initiative most find themselves concerned with has much to do with the control of money. Particularly in America‚ quandaries often arise as citizens and officials make fundamental efforts to improve society in due course. Numerous articles found in the New York Times have profoundly demonstrated how issues that continue to emerge can promptly be restored with a budget extension. Articles dated only days apart‚ “Treatment‚ Not Jail‚ for the Mentally Ill”‚ “Many weight-loss
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of these social traps and making policies to avoid them will help in building sustainable society. The crisis as consequence of the economic growth has to do with the propensity of all industrial society to grow beyond the limits of the natural systems. Human use 40 percent of the net productivity of the ecosystem on the planet‚ changing the was the climate‚ exterminating species‚ and toxifying ecosystem. The writer also elucidates that the importance of the economy in the modern world is a
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Answer 7. The Taguchi Loss Function for PlataLimpia‚ Inc. part is: L(x) = k (x - T)2 $15 = k (0.025)2 k = 24000 L(x) = k (x - T)2 = 24000 (x - T)2 8. A team was formed to study the dishwasher part at PlataLimpia‚ Inc. described in Problem 7. While continuing to work to find the root cause of scrap‚ they found a way to reduce the scrap cost to $10 per part. a. Determine the Taguchi loss function for this situation. b. If the process deviation from target can be held at 0.015 cm
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CASE PROBLEM: President’s Advisors President gets advice from his pool of advisers every time he needs to make a decision. He has 13 top advisers that he really relies on. But if all of them are involved in any decision‚ they always end up in an argument where more often than not‚ the final decision is not achieved. To resolve this‚ a scheme was devised where only 5 of the 13 will be randomly chosen to decide on a certain matter. They achieved this by having the 13 advisers arrange themselves
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Malaysia and cause air pollution.Therefore‚Indonesia and Malaysia should work together to overcome the haze problem.I have a few reasons to support my stand. Firstly‚the haze can bring many effects for human health.It will increase the respiratory problems such as lung infections and asthma attacks.The haze can also cause dry throats and result in flu or runny nose. Moreover‚some people may come down with sore eyes(conjunctivitis).In addition‚this will perhaps bring to death cases to those who not
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asymmetry leads to adverse selection: among the informed parties‚ those who are most eager to make a deal are the least desirable to parties on the other side.Adverse selec- tion is a big idea in economic theory‚ because the problem arises in many types of markets. The Lemons Problem In 1970‚ George Akerlof of the University of California‚ Berkeley‚ published the classic paper on adverse selection; he won the Nobel Prize in Economics in 2002.Akerlof presented a folksy example about used cars to show
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