Высшая маГрафики и хE Как быстро х9 famnit iiA FAMNIT - St X9 famnit e clan DM1: Home Xhw3 (3).pdf xМетоды реb Elementary xO Paňn | C:/Users/micha/Downloads/hw3%20(3).pdfиз 1В Просмотр страницы | А Прочесть вслухУ НарисоватьВыделениеСтереть1divisible by p; for any i with 1 < i < n.)5. Prove by induction that 3 divides 7" – 4 for every n E N.6. If X and Y are finite sets, prove that |XY| = |X|Y. Here, XY is the set of all functionsfrom Y to X.Write Y =(Hint:uniquely determined as soon as f(y1), f(y2), ... , f (ym) are specified. How many choices arethere for f(y1), for f(y2), etc.){Y1, Y2, . . . , Ym} and X ={x1, x2, . . . , xn}. A function f : Y → X is7. Let X be any set and let Y = "27X = {x : X → {0, 1}}, that is, Y is the set of all functionsfrom X to {0, 1}. Show that the map F : Y → P(X) defined below is a bijection:F : X+ {x € X | x(x) = 1} where xE27X(We discussed this function along with an example in class on 08/12.)19:40О Введите здесь текст для поиска日5°С В осн. облачноO G 4)) PyC22.12.2021

The fundamental principle of counting is the base theorem for counting. When work can be completed…

Answered: 6. If X and Y are finite sets, prove…

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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A researcher wants to know why individuals in Community A have a higher rate of a rare form of cancer when compared to those living in Community B. To find out the reasons for the differences in cancer rates in these two communities, the investigator surveyed residents about their lifestyle, noted the types of businesses that were present in the community and searched medical records. The researcher found that the headquarters for the Toxico Chemical Plant is located in Community A, there is a higher rate of cigarette smoking in this community and residents tended to delay or skip going to the doctor for an annual checkup. In Community B, the largest employer was a department store and on average, residents did not smoke as much as residents from Community A. However, like individuals from Community A, Community B residents tended to delay or skip their annual checkup with their doctor. 1. What makes this a descriptive study?
A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi square
When looking at the data for graduate school admissions between men and women, it is shown that about 45% of men are admitted but only 38% of women. However, when the data is broken down by school it turns out that, within each school, the women are admitted at higher rates than the men. This could happen because I. The women apply in higher numbers to schools with lower acceptance rates. II. The women apply in higher numbers to schools with higher acceptance rates III. The men apply in higher numbers to schools with lower acceptance rates IV. The men apply in higher numbers to schools with higher acceptance rates
Two groups, A and B, consist of 100 people each who have a disease. A serum is given to group A but not to group B (which is called the control). It is found that in groups A and B, 75 and 65 people, respectively, recover from the disease. At significant levels of (a) 0.01, (b) 0.05, test the hypothesis that the serum helps cure the disease.
Consider a capital market with only two risky assets A and B. Their standard deviations are 1 and 2, respectively. There is no risk-free asset. When the correlation coefficient ρAB = 0, construct a portfolio, whose variance is strictly less than 1. [Hint: you may want to try the portfolio that puts more weight on the security with the lower standard deviation.]
Paraquat is one of the most widely used herbicides and is highly toxic to In a study to assess the protective effects of a new agent A against paraquat, 200 rats were randomly assigned to three groups. The first group (treatment I) was administered paraquat; the second group (treatment II) was administered paraquat plus a low dose of agent A; the third group (treatment III) was administered paraquat plus a high dose of agent A. The number of rats that survived more than eight days for each group was recorded and are presented in Table 2 (attached). Suppose we want to answer the following question: (i) Test, at the 1% level of significance, whether agent A affects the survival rate of paraquat infected rats. Chi sqaure statistic summary also attached. a. What is the value of the observed test statistic associated with the test in question b. What is the p-value associated with the test in question (i)? c. At the 1% level of significance, does the p-value support the claim that agent A…
2. A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…
A disease can be caused by three strains of a virus. Suppose that Type A is statistically the most widespread causing 85% of all cases, Type B causes 12% of cases and Type C causes the remaining cases. a standard course of medication XYZ is enough to treat 90% of cases caused by Type A, 30% of cases caused by Type B and 4% of cases caused by Type C. If a patient’s symptoms do not improve after a course of XYZ, how likely is it that their case is caused by strain of Type N
Taxi Brand A Brand B1 41,200 42,7002 31,100 31,2003 43,600 44,6004 42,600 40,9005 41,400 41,1006 35,600 40,2007 47,000 48,2008 40,200 41,400
A food technology student, wishes to investigate whether teenagers prefer a blue-colored soda. She randomly selected 50 undergraduate students from her university and obtained their consent to participate in a food tasting experiment. For her experiment, she prepared two glasses of soda for each student: a clear-colored soda and the same soda flavor mixed with a blue food coloring. The addition of food coloring is not expected to alter the actual taste of the soda since food coloring is tasteless. The sampled students will first taste the clear-colored soda and then the blue-colored soda after an hour. After each taste test, the students will be asked whether they like the taste of the soda they drank. Consider di = Xblue – Xclear where Xblue is the number of students who prefer both the clear-colored and blue-colored sodas Xclear is the number of students who prefer the clear-colored soda but not the blue-colored soda. What are the null and alternative hypothesis?
Distinguish between Heteroskedasticity and autocorrelation
Provide a detailed and comparative account of the two tests of heteroskedasticity (theBreusch-Pagan test and the White test)

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