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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 247 Humanities 25% 209 Natural Science 20% 222 Social Science 15% 127 All other subjects 8% 83 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are the same.H1: The distributions are different.H0: The distributions are different.H1: The distributions are different. H0: The distributions are the same.H1: The distributions are the same.H0: The…
13% of 45 = ____
You have a small sample of voting information for a recent election. This includes data on which party a person voted for (dem-1 for democrat, =0 for other), gender (male=1 for male, =0 for female), income (in thousands of dollars) and age (in years). You create a table tabulating votes by gender. 1 dem I 01 11 0.045 O.348 545 0.602 -+- O.500 male 0 10 12 Total I 22 In a linear probability model of dem on male, what is the intercept coefficient? (Hint: calculate the relevant probabilities.) 11 Total 81 18 61 18 ------- + 141 36
In a multiple-choice test, there are three possible answers to each question. There are 10 questions in the exam. One point is given for the correct answer but nothing is deducted for the wrong answer. To pass the exam you must get at least 5 points. Sigmundur is very bad at the study material and therefore decides what the correct answer is in each question. What are the chances that Sigmundur will pass the exam? 1. about 2%. 2. about 7%. 3. about 14%. 4. about 21%.
Solve.
The chess club needs to nominate a government (president, vice president, treasurer, and secretary). What are the chances I could be the president of the club if there are 31 other members (32 total)?
The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 284 Humanities 25% 218 Natural Science 20% 207 Social Science 15% 102 All other subjects 8% 77 (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to three decimal places. Round the test statistic to three decimal places.)
Chi-square There are 4 TV sets at the student center of a large university lounge. At a particular time of each day, four different soap operas (namely 1, 2, 3 and 4) are being transmitted at these TV sets. The attending number of students viewing the 4 soap operas are 80, 88, 79 and 53. The percentage of audience captured by these shows during one semester after the summer break are 25%, 30%, 25% and 20%, respectively. The survey consists of 300 students. a) if the viewing pattern has not changed, what number of students is expected to watch each soap opera? b)using descriptive statistics, show the relative frequency of students watching each soap opera before the break c)test at 1% significance level, if these numbers indicate a change in watching behaviour.
Suppose 10% of all redeemed coupons at a supermarket are for 50% off the item purchased. A simulation is used to model a coupon randomly selected and then recorded as 50% off or not 50% off. Which simulation best models the scenario? Place 40 equally sized pieces of paper in a hat. Of the 40, 4 read "50% off" and the rest read "not 50% off ". O Place 30 equally sized pieces of paper in a hat. Of the 30, 6 read "50% off" and the rest read "not 50% off ". O Place 80 equally sized pieces of paper in a hat. Of the 80, 10 read "50% off" and the rest read "not 50% off ". O Place 50 equally sized pieces of paper in a hat. Of the 50, 10 read "50% off" and the rest read "not 50% off ".
Help.
Jamal has five comic books, four novels, and three biographies. He wants to choose one comic book, one novel, and one biography randomly. How many total outcomes are in this sample space?
You are on a game show. You are given the choice of four

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a	P1 = 40%, P2 = 30%, P3 = 30%, P4 = 0%
b	P1 = 30%, P2 = 30%, P3 = 40%, P4 = 0%
c	P1 = 30%, P2 = 40%, P3 = 30%, P4 = 0%
d	P1 = 35%, P2 = 30%, P3 = 35%, P4 = 0%