The article "Uncertainty and Climate Change" (G. Heal and B. Kriström, Environmentaland Resource Economics, 2002:3–39) considers three scenarios, labeled A, B, and C, for theimpact of global warming on income. For each scenario, a probability mass function for theloss of income is specified. These are presented in the following table.ProbabilityLoss (%)Scenario AScenario BScenario C0.650.650.650.240.20.240.1100.01150.10.1200.010.0525Compute the mean and standard deviation of the loss under scenario A.a.b.Compute the mean and standard deviation of the loss under scenario B.Compute the mean and standard deviation of the loss under scenario C.C.d.Under each scenario, compute the probability that the loss is less than 10%.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Read the following passage and observe the word length of each word. Make a frequency distribution of word length. “Statistics play an intrinsic role in computer science and vice versa. Statistics is used for data mining, speech recognition, vision and image analysis, data compression, artificial intelligence, and network and traffic modeling. A statistical background is essential for understanding algorithms and statistical properties that form the backbone of computer science. Typically, statistical approach to models tends to involve stochastic (random) models with prior knowledge of the data. The computer science approach, on the other hand, leans more to algorithmic models without prior knowledge of the data. Ultimately, these come together in attempts to solve problems.”
Question 2 (Simulation) The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. Probability distributions for the purchase cost, the labor cost, and the transportation cost are as follows: Labour Cost Transportation Cost (S) Purchase Cost (S) Probability (S) Probability Probability 10 0.25 20 0.1 0.75 0.45 22 0.25 0.25 12 0.3 24 0.35 25 0.3 Assume that these are the only costs and that the selling price for the product will be S45 per unit. a. Provide the base (most likely)-case, worst-case, and best-case calculations for the profit per unit. b. Set up intervals of random numbers that can be used to randomly generate the three cost components, and find the average profit based on 10 simulation trials. Show your simulation model (including the formulas sed) as developed with Excel. e. Using the random numbers 0.3726, 0.5839, and 0.8275, calculate the profit per unit. ( d. Management believes the project may not be…
Asian economies impact some of the world's largest populations. The growth of an economy has a big influence on the everyday lives of ordinary people. Are Asian economies changing? A random sample of 15 Asian economies gave the following information about annual percentage growth rate. Region 1 2 3 4 5 6 7 8 Modern Growth Rate % 4.6 2.9 7.6 2.4 0.3 5.5 2.7 4.8 Historic Growth Rate 3.5 1.3 7.1 5.3 3.5 6.4 3.6 8.4 Region 9 10 11 12 13 14 15 Modern Growth Rate % 4.1 5.6 6.5 3.8 3.4 0.6 7.9 Historic Growth Rate 6.8 7.8 6.1 1.3 1.2 2.7 5.7 Does this information indicate a change (either way) in the growth rate of Asian economies? Use a 10% level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (Round to two decimal places) (c) Find th P Value of the sample test statistic. (Round to four decimal places)
Consider the following table: Severe recession Mild recession Normal growth Boom Scenario Mean return Variance Covariance Probability 0.05 0.25 0.40 0.30 % Stock Fund Rate of Return Required: a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) -30% -108 158 20% Bond Fund Rate of Return. -98 15% 8% -58 b. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)
Asian economies impact some of the world's largest populations. The growth of an economy has a big influence on the everyday lives of ordinary people. Are Asian economies changing? A random sample of 15 Asian economies gave the following information about annual percentage growth rate. Region 1 2 3 4 5 6 7 8 Modern Growth Rate % 4.4 2.9 7.6 2.6 0.9 5.3 2.3 4.8 Historic Growth Rate 3.1 1.7 7.1 5.9 3.1 6.2 3.4 8.6 Region 9 10 11 12 13 14 15 Modern Growth Rate % 4.5 5.2 6.6 3.8 3.8 0.2 7.7 Historic Growth Rate 6.6 7.8 6.2 1.3 1.4 2.7 5.9 Does this information indicate a change (either way) in the growth rate of Asian economies? Use a 10% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: Distributions are the same. H1: Distributions are different.Ho: Distributions are different. H1: Distributions are the same. Ho: Distributions are the same. H1: Distributions are the same.Ho: Distributions are different.…
section 5.3
6. Venn Diagram: Draw a Venn diagram for the following situation (approximate with correct relative scales). Event A: Porosity > 12%, Event B: Facies = Sandstone, Event C: Facies = Shale. P(A) = 30%, P (B) = 20%, P (C) = 10%, P (A| B) = 0%, P(B | C) = 0%, P(An C) = 5%
8. Using the data in the following table, estimate (a) the average return and volatility for each stock, (b) the covariance between the stocks, and (c) the correlation between these two stocks. Year Stock A Stock B 2004 -10% 21% 2005 20% 7% 2006 5% 30% 2007 -5% -3% 2008 2% -8% 2009 9% 25%
12. Calculate the expected life of refrigerators at the age of 7 using the following data. Age: up 2 2-4 4-6 6–8 8-10 10-12 16 13 7 5 4 Girls:
Section 6.3: Hypothesis Test of Differences in Proportions Example 4. Autism and Maternal Antidepressant Use A recent study41 compared 298 children with Autism Spectrum Disorder to 1507 randomly selected control children without the disorder. Of the children with autism, 20 of the mothers had used antidepressant drugs during the year before pregnancy or the first trimester of pregnancy. Of the control children, 50 of the mothers had used the drugs. (a) Is there a significant association between prenatal exposure to antidepressant medicine and the risk of autism? Test whether the results are significant at the 5% level. (b) Can we conclude that prenatal exposure to antidepressant medicine increases the risk of autism in the child? Why or why not?
*Question Six* The management of a supermarket wants to adopt a new promotional policy of giving free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditure for all customers at this supermarket will be normally distributed with mean 400 £ and a variance of 900 £2. What is the probability that the expenditure of the first customer exceeds the expenditure of the second customer by at least 20 £?
Subject: Statistics Question: The following data shows the number of Dengue cases in a Private Hospital in 17 consecutive days August 2019. 11, 18, 9, 10, 14, 15, 7, 18, 15, 10, 22, 19, 10, 16, 5, 7, 20 Show the solution and find: a) Calculate the variance b) calculate the coefficient of variation

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