You are given:(i)Losses follow an exponential distribution with mean 0 .(ii)A random sample of losses is distributed as follows:Loss RangeNumber of Losses(0 – 100]32(100 – 200]21(200 – 400]27(400 – 750]16(750 – 1000]2(1000 – 1500]Total100Estimate 0 by matching at the 80" percentile.(A)249(В)253(C)257(D)260(E)263

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Answered: You are given: (i) Losses follow an…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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[3] Situation: In a known hardware store in Pampanga, the manager is interested to know how much on average, their customers spend each visit in the store. Using their records, a 1000 visits were drawn and the customer’s average spending were calculated. From the computation, the mean amount spent of the customers per visit in the store was computed at P3,034.35. This is an example of a: a. Population b. Sample c. Parameter d. Statistic e. Variable
= 4 10 A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 12% of all applications were from minority members, and exactly 10% of the 1650 open positions were filled by members of the minority. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of minority member applications in a random sample of 1650 that is drawn from all applications. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.1), which is the probability that there will be 10% or fewer minority member applications in a random sample of 1650 drawn from all applications. Round your answer to four decimal places.
The number of years N(r) since two independently evolving languages split off from a common ancestral language is approximated by N(r) = – 4000 lIn r where r is the proportion of the words from the ancestral language that are common to both languages now. a. N(0.9) = (Round to the nearest tens place.) %3D b. N(0.4) = (Round to the nearest hundreds place.) c. N(0.1) = (Round to the nearest thousands place.) d. How many years have elapsed since the split if 60% of the words of the ancestral language are common to both languages today? years have elapsed since the split. (Round to the nearest hundreds place.) e. If two languages split off from a common ancestral language about 2000 years ago, find r. r = (Round to the nearest tenth as needed.)
Example 9.27 The average daily sales of 500 branch officials was Rs 1,50,000 and the standard devia- tion was Rs 15,000. Assuming the distribution to be normal, indicate how many branches have sales between: (i) Rs 1,20,000 and Rs 1,45,000 (ii) Rs 1,40,000 and Rs 1,65,000 (iii) More than Rs 1,65,000
27(b) Calculate the Cost of Living Index Number using the weighted geometric mean : Weights Group (1) Food F (2) Fuel and lighting Index Number 350 10 150 59 (3) Clothing 200 150 2 (4) House rent (5) Miscellaneous 225
(2.1)
The department of health studied the number of patients who need liver transplantation. The following data are the Liver Transplantation Waiting List (LTWL), where y is the size (in number of patients) and x is the corresponding year: y 1216 1702 2716 3707 4706 6760 7631 7552 7675 8444 8390 8554 8795 * 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 Round your intermediate answers to four decimal places (e.g. 98.7654). (a) Fit the simple linear regression model using the method of least squares. Find the estimate of o?. Round your answer to the nearest integer (e.g. 9876). i (b) How does the LTWL size change in average for a year? Round your answer to the nearest integer (e.g. 9876). B = i (c) Estimate the number of patients in the list in 2017. ŷ = (d) Calculate the fitted value of y corresponding to x = 2014. Find the corresponding residual. Round your answer to the nearest integer (e.g. 9876). ŷ = i Round your answer to the nearest integer (e.g. 9876). e =
Listed below are the numbers of deaths resulting from motor vehicle crashes. Let x represent the year, with 1975 coded as x = 1, 1980 coded as x = 6, 1985 coded as x = 11, and so on. Construct a scatterplot and identify the mathematical model that best fits the given data. Use the best model to find the projected number of deaths for the year 2028. x (year) 1975 1980 1985 1990 1995 2000 2005 2010 D y (deaths) 44,533 51,122 43,809 44,590 41,798 41,960 43,436 32,697 (...) Choose the correct graph below. O A. O B. O C. D. 52000- 52000- 52000- 52000- DDDD 00 X X X X 32000+ 32000 32000+ 32000+ 0 40 0 40 0 40 0 40 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) O A. y= X B. y = + In x O C. y = + O D. X y=² O E. y = x² + X + Use the best model to find the projected number of such deaths for the year 2028. The projected…
1. The data in Table 7–6 were collected in a clinical trial to evaluate a new compound designed to improve wound healing in trauma patients. The new compound was com- pared against a placebo. After treatment for 5 days with the new compound or placebo, the extent of wound healing was measured. Is there a difference in the extent of wound healing between the treatments? (Hint: Are treatment and the percent wound healing independent?) Run the appropriate test at a 5% level of significance. Use the data in Problem 1. Pool the data across the treatments into one sample of size n = 250. Use the pooled data to test whether the distribution of the percent wound healing is approximately normal. Specifically, use the following distribution 30%, 40%, 20%, and 10% and a = 0.05 to run the appropriate test. Percent Wound Healing Treatment 0-25% 26-50% 51-75% 76-100% New compound (n=125) 15 37 32 41 Placebo (n=125) 36 45 34 10
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.
The national distribution of fatal work injuries in a country is shown in the table to the right under National %. You believe that the distribution of fatal work injuries is different in the western part of the country and randomly select 6231 fatal work injuries occurring in that region. At α=0.05 can you conclude that the distribution of fatal work injuries in the west is different from the national distribution? Complete parts a through d below. Cause National % Western Frequency Transportation 44% 2887 Equipment 18% 1158 Assaults 15% 804 Falls 13% 752 Harmful fumes 8% 535 Fires 2% 95 a. State H0 and Ha and identify the claim. What is the null hypothesis, H0? How do I set this whole problem up to get the correct answers?

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