19. A blood test is developed to screen for a certain type of allergy in human

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19. A blood test is developed to screen for a certain type of allergy in human beings. Individuals who have the allergy tend to have elevated serum concentration of the allergen-specific antibody. In particular, among these allergic individuals, their allergen-specific antibody concentrations follow the Normal distribution with an average of 400 units per litre (U/L) and a standard deviation of 80 U/L. For individuals without the allergy, their allergen-specific antibody concentrations also follow the Normal distribution, but with an average of 200 U/L and a standard deviation of 50 U/L.An individual who undergoes the blood test is screened positive if his/her allergen-specific antibody concentration exceeds 300 U/L. Otherwise, the individual is screened negative. (Note that an allergic individual can have low antibody concentration and be screened negative by the blood test. Similarly, a non-allergic individual can have high antibody concentration and be screened positive.)Suppose 10% of the population have the allergy.a) Find the probability that a randomly chosen non-allergic individual is screened positive by the blood test. [3 marks]b) Find the allergen-specific antibody concentration that is exceeded by 20% of the non-allergic individuals. [2 marks]c) Find the probability that a randomly chosen allergic individual is screened positive by the blood test. [2 marks]d) Find the probability that a randomly chosen individual is screened positive by the blood test. [2 marks]e) An individual who undergoes the blood test is screened negative. Find the probability that this individual is truly free of the allergy. [2 marks]20. A 4-member relay team (including the order in which they will swim) is to be randomly selectedfrom the 9 members of a men’s swimming club.a) How many different teams are possible?b) Find the probability that the best swimmer is left off the randomly-selected relay team.c) Find the probability that the best swimmer is picked for the team, and asked to swim the fourthlap of the relay.d) Find the probability that the top two swimmers in the club wind up swimming the third andfourth laps of the race, in either order; i.e., the best could be either the third or fourth into thepool.21. Find the probability that a random selection of 5 cards from an ordinary deck of 52 will produce ahand known in poker as a “flush” — i.e., the cards are all of the same suit, like 3H, 5H, 6H, 10H,QH.22. On a certain computer network each user has to have a password consisting of six to eightcharacters in length; each character is either a lowercase letter or a digit. A password must containat least one digit. How many possible passwords can be issued?23. A large shipment of items contains 8% defective items. Four items of the shipment are randomlyselected. What is the chance that the selection will include at least one defective item?24. In 6/49 lottery, you win cash prize when you have three or more of the six winning numbers. In other words, you do not win any cash prize (i.e. you lose $2 for the ticket) when you have two or less winning numbers. What is the probability that you do not win any cash prize when you purchase a ticket of 6/49 lottery?25. A special committee of five professionals is formed from a group of four lawyers, three doctors and three teachers. At least three lawyers are needed in the special committee. Define X as the number of teachers in the special committee.a) Construct the probability distribution of the random variable X. [8 marks]b) Calculate the expected of X and provide an interpretation of it. [2+2 marks]c) Calculate the standard deviation of X. [2 marks]

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a) [2] Find the IEEE 32-bit single precision representation of the numbers. (Sh

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a) [2] Find the IEEE 32-bit single precision representation of the numbers. (Show major steps in computing exponent and fraction/mantissa).A = IEEE single-precision representation of (–4.6875)10B = IEEE single-precision representation of (3.75)10b) Add the numbers. The result of (A + B) should be in IEEE 32-bit single-precision format. (Show major steps)Consider two floating-point numbers: (100.1011)2 and (11.11)2 for the following two questions. Assume that these numbers are positive numbers.c)  Subtract the numbers. The result of (A – B) should be in IEEE 32-bit single-precision format. (Show major steps)a) [6] For this problem, you need to multiply the two numbers in their natural binary form (no need to convert to single precision). Consider Figure 3.3 (“First version of the multiplication hardware”) in page 184 of the textbook. Assume that the following modifications are done to the figure: Multiplicand register is 16 bits (instead of 64 bits), 16-bit ALU is used (instead of 64-bit ALU), Multiplier register is 8 bits (instead of 32 bits), and the Product register is 16 bits (instead of 64 bits). Please show the computation steps of multiplication using the following table (add as many rows as needed). In other words, please show the contents of Multiplicand, Multiplier and Product registers in each iteration. At the end of computation, the final result should be in the Product register.IterationMultiplicand (16 bits)Multiplier (8 bits)Product (16 bits)10000000001001011000011110000000000000000b) [6] For this problem, you need to divide the two numbers in their natural form (no need to convert to single precision). Consider Figure 3.8 (“First version of the division hardware”) in page 190 of the textbook. Assume that the following modifications are done to the figure: Divisor register is 16 bits (instead of 64 bits), 16-bit ALU is used (instead of 64-bit ALU), Quotient register is 8 bits (instead of 32 bits), and the Remainder register is 16 bits (instead of 64 bits). Please show the computation steps using the following table (add as many rows as needed). In other words, please show the contents of Divisor, Quotient and Remainder registers in each iteration. At the end of computation the final quotient and remainder should be in the Quotient and Remainder registers, respectively.Consider two floating-point numbers: (100.1011)2 and (11.11)2 for the following two questions. Assume that these numbers are positive numbers.a) [6] For this problem, you need to multiply the two numbers in their natural binary form (no need to convert to single precision). Consider Figure 3.3 (“First version of the multiplication hardware”) in page 184 of the textbook. Assume that the following modifications are done to the figure: Multiplicand register is 16 bits (instead of 64 bits), 16-bit ALU is used (instead of 64-bit ALU), Multiplier register is 8 bits (instead of 32 bits), and the Product register is 16 bits (instead of 64 bits). Please show the computation steps of multiplication using the following table (add as many rows as needed). In other words, please show the contents of Multiplicand, Multiplier and Product registers in each iteration. At the end of computation, the final result should be in the Product register.IterationMultiplicand (16 bits)Multiplier (8 bits)Product (16 bits)10000000001001011000011110000000000000000b) For this problem, you need to divide the two numbers in their natural form (no need to convert to single precision). Consider Figure 3.8 (“First version of the division hardware”) in page 190 of the textbook. Assume that the following modifications are done to the figure: Divisor register is 16 bits (instead of 64 bits), 16-bit ALU is used (instead of 64-bit ALU), Quotient register is 8 bits (instead of 32 bits), and the Remainder register is 16 bits (instead of 64 bits). Please show the computation steps using the following table (add as many rows as needed). In other words, please show the contents of Divisor, Quotient and Remainder registers in each iteration. At the end of computation the final quotient and remainder should be in the Quotient and Remainder registers, respectively.

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At a meeting of directors of Greenslopes Pty Ltd, a seedling and plant nursery

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At a meeting of directors of Greenslopes Pty Ltd, a seedling and plant nursery supplies company, in January this year, it was decided that Ros, the company secretary be appointed a director of the company. The only action taken by the company subsequent to the meeting of directors was to have business cards printed noting Ros as a director of the company. No formal appointment has taken place and no decision has been made as to the extent of her involvement in the company’s affairs as a director. Subsequent to the meeting, Ros purchased outdoor furniture, for retail purposes, to the value of $1 million from Des on behalf of the company. She undertook the purchase without the consent of the directors. After the goods were delivered, Des read the company’s constitution and discovered that the company has no power to purchase outdoor furniture. On this basis, the company believes it is not responsible for Ros’s actions and is refusing to pay for the goods on this ground. Advise Des whether he will be able to hold the company to the contract. Also advise the company of its legal position regarding Ros’s actions and the debt of $1 million.

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Very often, buffers and other reagents are labeled as 5x or 10x. This means tha

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Very often, buffers and other reagents are labeled as 5x or 10x. This means that they are 5 or 10 times more concentrated than the working solution. For example, if a 10x buffer had a solute concentration of 0.5 M, the concentration of the solute in the working solution, after dilution, would be 0.05 M or 50 mM. Phosphate buffered saline, often abbreviated PBS, comes as a 10x solution that contains 20 mM KH2PO4. What is the concentration of KH2PO4 in the working solution of PBS? The Tris/Borate/EDTA buffer (TBE) is commonly made as a 5x solution. What volumes of 5x TBE and water are required to make 500 mls of a 0.5x solution which is often used in electrophoresis? When working with the small volumes required for DNA manipulation, the volume of the buffer added is often dictated by the amounts of all the other reagents added to the mix. If you were to perform a reaction using 10x buffer diluted to a 1x working solution, what volume of buffer and water would you use if the other items to be added included the following? Enzymes: 4 µl DNA solution: 6.5 µl ATP: 2 µ

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 As a marketing associate for a sports apparel company, we see that, in 2011,

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 As a marketing associate for a sports apparel company, we see that, in 2011, 44.2% of our customers checked reviews of our new products on social media sites before buying.  This year, to see if that percentage has increased, we use an email campaign to survey our recent customers.  Of 39,994 respondents, 17,885 said that, before buying, they checked reviews of the product they purchased on social media. a.)Based on this survey, what is the point estimate of the proportion of our customers who check social media reviews?b.)Test whether the increase indicated by this point estimate is statistically significant?c.)Compute a 95% confidence interval for the percentage of customers using social media before buying.  What do we think about it?  d.)What is the power of the test in part b?e.)Based on this analysis, would you recommend any changes in our social media marketing approach? 

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1 page double spaceRead and complete the Performance Diagnosis Model exercise f

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1 page double spaceRead and complete the Performance Diagnosis Model exercise found in the “FILES” tab on Canvas. Read chapter 6 in the text titled Motivating Others and complete the following journal. Your journal should be one double spaced page in length. Share the following:The performance diagnosis model assumes employees will work hard and be good performers if the work environment encourages these actions. Based on the model and readings, where do you think the largest challenge is for managers; employee ability or motivation? Why? Based on the exercise, what did you select for each scenario? Was it an ability or motivation issue? Which of the 7 problems did you select for each scenario?

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You are running a series of statistical tests in SPSS using the “standard” crit

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You are running a series of statistical tests in SPSS using the “standard” criterion for rejecting a null hypothesis. You obtain the following p values: (a) Test 1 calculates group differences with p = .07; (b) Test 2 calculates the strength of association between two variables  with  p = .50; and (c) Test 3 calculates group differences with  p = .001. First, what is the “standard” criterion for rejecting the null hypothesis (what p value)? For each of the three tests, state whether or not you would reject the null hypothesis, and why you made that decision. Then, explain what your decision implies in terms of group differences (Test 1 and Test 3) and the strength of association between two variables (Test 2).

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Jamie Ramos looked out her window at the early morning sky and gazed the small

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Jamie Ramos looked out her window at the early morning sky and gazed the small crowd below. The words and pictures on their posters were pretty tame this time she thought. The last protest group used pictures of tarred lungs, corpses, and other graphic photos to show the effects of smoking on a person’s internal organs. Their words were also hateful, so much so that the employees at the Unified Tobacco headquarters were afraid to walk in and out of the main building. Those who normally took smoking breaks on the back patio decided to skip the break and eat something instead at the company subsidized cafeteria. By midday, Unified hired extra security to escort employees in and out of the building to ensure that protesters followed the state guideline of stating at least 15 ft from the company entrance. The media picked up on the story and the photos and it caused quite a stir in the national press. At least this protest group seemed fairly reasonable. Late yesterday, a state court provided a reduced judgement to the family of a lifelong smoker, now deceased. This meant that unified was going to owe millions less than originally expected. The length and stress of the lawsuit had taken its toll, especially on top management, although all employees were certainly learning of a huge settlement, and then continuing on with the appeals process, emotions were wearing thin with the continued criticism. Jamie wondered what this day would bring. As the manager of the community relations, her job was to represent Unified in the community, manage the employee volunteer program, create a quarterly newsletter, serve on various boards related to social welfare, and community needs. The company’s foundation donated nearly $1.5 million a year to charities and causes. Over one-quarter of its employees volunteered ten hours a month in their communities. Jamie reported to a vice-president and was pleased with the career progress she had made since graduating from college 8 years earlier. Although some of her friends wondered out loud how she could work for a tobacco company, Jamie was steadfast in her belief that even a tobacco firm could contribute something meaningful to society. She had the chance to affect some of those contributions In her community relations role. Jamie’s phone rang and she took a call from her vice-president. The BP indicated that, although the protestors seemed relatively calm this time, he was not comfortable with their presence. Several employees had taped signs in office windows telling the protestors to “Go Away”. Other VPs had dropped by his office to discuss the protest and thought that the responsibility for handling these issues fell to his group. He went on to say that he needed Jamie’s help, and that the assistance of a few others, in formulating a plan to (1) deal with protest today and (2) strengthen the strategy for communicating the company’s message and goodwill in the future. Their meeting would begin in one hour, so Jamie had some time to sketch out her recommendations on both issues. What would you do?Jamie has been asked organize a meeting to discuss the protest, strengthen community relations, and ensure the company’s message is conveyed to the public. 1. What specific advice would you offer Jamie as preparations are made for the meeting? 2.  What items would you include on the agenda?3. Who would you invite to the meeting? Explain your answer stating why. 4. Discuss the media coverage and potential long-term implications of the coverage.** MUST HAVE 5 PARAGRAPHS (INTRO, 3 BODY PARAGRAPHS, AND CONCLUSION) — (5-7 FULL SENTENCES EACH – NO LESS!)** MUST ADDRESS ALL PARTS OF THE QUESTION** MUST HAVE CITED RESOURCES** MUST COME WITH TURN IT IN REPORT

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Complete the following problems using the Combined Gas Law. Include the appropr

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Complete the following problems using the Combined Gas Law. Include the appropriate formula, show your work and provide an answer with the correct units and significant digits. 1.    A steel cylinder with a fixed volume contains a gas at a pressure of 652 kPa and a temperature of 25°C. If the cylinder is heated to 150°C, use the combined gas law to calculate the new pressure. (if the volume is constant V1 and V2 are the same number). 2.    A balloonist fills a balloon with 25 000 L of helium gas. The temperature at ground level is 25.0°C and the barometric pressure is 1.000 atm or 101.325 kPa. At 3500 m, the temperature has dropped to 5.0°C and the barometric pressure is 0.900 atm or 91.2 kpa. What is the volume of the balloon’s gasbag at this altitude? 3.    The gases from a smokestack at an industrial plant emerge at a temperature of 250.0°C and a pressure of 110 kPa. If 1.00 L of this gas is allowed to cool to 18°C and adjust to 100.5 kPa, what will be the new volume? 4.    Hot exhaust gases are often used in a chemical plant to heat chemical reactions before the gases are discharged to the atmosphere. If 10.0 L of gas at 300°C and 3.00 atm expand to 125 L at 1.00 atm during the heat exchange process, what is the temperature of the gas that is released to the atmosphere? 5.    A canister containing air has a volume of 85 cm 3 and a pressure of 1.45 atm when the temperature is 310 K. What is the pressure when the volume is increased to 180 cm 3 and the temperature is reduced to 280 K?6.    A helium balloon at 28ºC has a volume of 1.8 L and a pressure of 102 kPa. What is the volume of the balloon when is rises into the atmosphere where the pressure is 85 kPa and the temperature is 4ºC?

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