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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To make a statement of the problem in investigatory projects‚ come up with a detailed paragraph outlining the essential issue that you will be investigating. If your teacher wants a hypothesis‚ or educated guess‚ consider the problem‚ outline it in a paragraph‚ and then add your educated guess about what will happen in your investigation. The best hypothesis will be the result of research and logic. Once you’ve decided how to describe a problem in four sentences or so (use more paragraphs if needed)
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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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Interstate 80‚ seen here in Berkeley‚ California‚ is a freeway with many lanes and heavy traffic. Traffic on roads may consist of pedestrians‚ ridden or herded animals‚ vehicles‚ streetcars and other conveyances‚ either singly or together‚ while using the public way for purposes of travel. Traffic laws are the laws which govern traffic and regulate vehicles‚ while rules of the road are both the laws and the informal rules that may have developed over time to facilitate the orderly and timely flow
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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 A gas station with only one gas pump employs the following policy: if a customer has to wait‚ the price is $3.50 per gallon; if they don’t have to wait‚ the price is $4.00 per gallon. Customers arrive according to a Poisson process with a mean rate of 20 per hour. Service times at the pump have an exponential distribution with a mean of 2 minutes. Arriving customers always wait until they can by gasoline. Determine the expected price of gasoline per gallon. Problem 3 The Old Colony theme
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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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When looking around the world today at our global civilization there are many problems that leap to our attention and everyone has a vested interest‚ one such example is food. Science has been tinkering with nature for the past one-hundred years trying to come up with solutions to help fight famine‚ and as a result‚ man made products have created ever more problems. The easiest way in which an individual or individuals can create change is to effect change in their local communities‚ so others can
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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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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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