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Instructions: Type your name, student number and programme intake on the top of your answer sheet. Include a Statement of Authorship with your answer sheet. Answers should be presented in one typed document, which should be submitted in hard copy to your Programme Manager and uploaded to Blackboard through Safe Assign. Please complete all 5 questions. Note that this is an individual assignment. Throughout this problem sheet, yz will denote the last two digits of your student number (eg. If your number is 14209474, then use 9 for y, 0 for z, 390 for 3yz, etc.). 1. [Chapter 1] Use Excel to create a fully-labelled scatter diagram which represents the following data set. Present the diagram as your answer and write a comment describing the graph. Number of clients 1 2 3 4 5 6 Profit (S$) -yz 0 Yz yz+100 yz+250 yz+450 2. [Chapter 1] Use Excel or a calculator to determine the standard deviation of the following sample data and interpret your result: 26 cm, 21 cm, 47 cm, 31 cm, 19 cm, yz cm 3. [Chapter 3] Write a short paragraph which compares and contrasts the binomial and hypergeometric probability distributions. 4. [Chapter 3] The average number of queries received by a call centre is 20 calls per hour. What distribution would you use to model the probability of calls per hour? Explain your choice of distribution and show how it is used by calculating the probability that there are at least 1y calls in a given hour. 5. [Chapter 4] The weights of a coffee shop’s muffins are normally distributed with mean 100g and standard deviation 5 g. Show how to determine the proportion of muffins that are at least 9y g. Write a sentence that explains your resulting answer to the coffee shop manager

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ART 4000 Theories of the Visual Arts

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