C-09-05PRINTED IN U.S.A.11.You are given:(i)Losses follow a loglogistic distribution with cumulative distribution function:F(x) = -(x/0)'1+(x/0)The sample of losses is:86(ii)103580901201581802002101500Calculate the estimate of 0 by percentile matching, using the 40h and 80thsmoothed percentile estimates.empirically

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Answered: 1. You are given: (i) Losses follow a…

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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A population has mean u=30 and standard deviation o=7. (A) Find the z-score for a population value of 9. (B) Find the z-score for a population value of 51. (C) What number has a z-score of -2.3
True or False? 1/n∑(Xi − X)^2 is an asymptotically unbiased estimator for the variance of X.
5. Oxygen demand is a term blologists use to describe the axygen needed by fish and other aquatic organisms for survval. The Environmental Protection Agency conducted a study of a wetland area in Marin County, Californla. In this wetland environment, the mean oxygen demand was u=9.9 mg/L, and a= 1.7 mg/L. (Reference: EPA Report 832-R- 93- 005). Let x be a random varlable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. a. An oxygen demand below 8 mg/L Indicates that some organisms In the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? b. A high oxygen demand can also indicate trouble. An oxygen demand above 12 mg/L may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12 mg/L?
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Suppose f(x) = 1/20 from 5 to 25. What is the 25th percentile of X? 10 1/20 None of the other choices is correct .25
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8. High levels of cholesterol in the blood increase the risk of heart disease. For 14-year-old boys, the distribution of blood cholesterol is approximately Normal with a mean of 170 milligrams of cholesterol per deciliter of blood (mg/dl) and a standard deviation of 20 mg/dl. Which equation could be used to solve for the 30th percentile of this distribution? x-170 (a)-0.30 = 20 (b) 0.30 = X-170 20 (c)-0.52 = (c) 0.30 = X-170 20 X-170 (d) 0.52= 20 170-x 20
The following table gives the sales of CD_Rom drives and compact disk players for selected years and can be found in Glassman. Sales are in millions. Year 1988 1990 1992 1993 Sales 0.075 0.24 1.5 4.8 A. On the basis of this data, find the best-fitting exponential regression. Let x = 0 correspond to 1988. State the square of the correlation coefficient. (Use 4 decimal places in you answers.)S(x) = r2 = B. Use this model the estimate the sales in 1997. (Round to the nearest player.)In 1997, there were about million CD_ROM and compact disk players sold.
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The values under n, N, and (n/N,)x 100% for the following table are not real, they are presented here for reasons of clarity. Table 1: Age distribution. Age Group Number of Patients Size of Age Group in Catchment A rea (N,) Proportion (n/ N,)x100% (n) 0- 4 5 - 14 15 - 44 45 - 59 2 60 925 4675 5762 19.75 15.63 58.08 901 4213 7253 23.93 13.84 153 635 76 549 i. Explain why the use of the proportions (n,/ N, )x100%, i= 1, 2,. .. 5, in the construction of the multiple bar chart is comparatively better than the use of the number of patients, (n,). ii. Assuming you are the bio-statis tician, use the multiple bar chart to write a report to management Be guided by the purpose for which multiple bar charts are used.

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