Let f be a one-to-one function from X=(1, 2, -, n) onto X. Let fk = fofo of denote the k-fold composition off with itself. Show that there are distinct positive integers i and j such that f'(x) = f(x) for all x EX. Show that for some positive integer k, f(x)=x for all x EX.
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- Smoking 2009, women and men In Exercise 2, we ex-amined the percentage of men aged 18–24 who smoked from 1965 to 2009 according to the Centers for DiseaseControl and Prevention. How about women? Here’s ascatterplot showing the corresponding percentages forboth men and women:a) In what ways are the trends in smoking behaviorsimilar for men and women?b) How do the smoking rates for women differ fromthose for men?c) Viewed alone, the trend for men may have seemed toviolate the Linearity Condition. How about the trendfor women? Does the consistency of the two patternsencourage you to think that a linear model for thetrend in men might be appropriate? (Note: there is nocorrect answer to this question; it is raised for you tothink about.)2/12P Chapter 7 Post-Test - Google Chrome A mylab.pearson.com/Student/PlayerTest.aspx?testld=130602417¢erwin=yes Math 1483 EWO6S Early Spring 2022 Adebukola Okunuga-porter 03/05/22 1:33 AM = Test: Chapter 7 Post-Test This test: 18 point(s) possible This question: 1 point(s) possible Question 3 of 18 Submit test > A psychologist, studying the effects of good nutrition on the behavior of rabbits, feeds one group a combination of three foods: I, II, and III. Each of these foods contains three additives: A, B, and C. The following table gives the percent of each additive that is present in each food. If the diet being used requires 6.88 g per day of A, 21.12 g of B, and 34.64 g of C, find the number of grams of each food that should be used each day. Click to view the data table. Let x = the number of grams of food I, y = the number of grams of food II, and z= the number of grams of food II Select the correct choice below and fill in any answer boxes within your choice. O A. There is one…
- Explain it properly When Ho is not rejected, the data supports-_____________________ . When Ho is rejected, the data supports _______________________________Pain: A recent survey asked 822 people how many days they would wait to seek medical treatment if they were suffering pain that interfered with their ability to work. The results are presented in the following table. Number of Days Frequency 0 27 1 434 2 263 3 72 4 16 5 10 Total 822 Send data to Excel Consider these 822 people to be a population. Let X be the number of days for a person sampled at random from this population. Part: 0 / 5 0 of 5 Parts Complete Part 1 of 5 (a) Construct the probability distribution of X . Round the answer to three decimal places. x 0 1 2 3 4 5 P ( x )None
- New Lottery (Questions 5-6) Suppose a new lottery randomly selects winners from players who buy a ticket and pays them $100 with probability p₁, $10 with probability p2, or $1 with probability P3. Losers get no money. The distribution of the amounts a player can win is shown as follows i1234 Wi $100 $10 $1 $0 Pi P1 P2 P3 P4 5. Multiple Choice: Which of the following distribution choices for probabilities P₁, P2, P3, P4 are a valid distribution for the amount won by a player. Distribution Choices A B с D E P1 P2 P3 P4 0.1 0.05 0.49 0.35 0.05 0.25 0.05 0.75 0.29 0.36 0.15 0.2 0.01 0.49 -0.050.55 0.17 0.33 0.14 0.36 6. Assume that the distribution of the amount won in the new lottery is as given below. Calculate the mean winning amount. ixi Pi 1$100 0.05 2 $10 0.10 3 $1 0.25 4 $0 0.60Question 1133503: A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.**The column titles are (left to right above each of the number columns) are as follows: better, same, worseRepublican 38 104 44Democrat 12 87 137none 21 90 118Express each of your first five answers as a decimal and round to the nearest 0.001 (in other words, type 0.123, not 12.3% or 0.123456).(a) What fraction of survey respondents identified themselves as Republicans?(b) What fraction of survey respondents thought the economy was getting worse?Question: A researcher conducts a study of familiarity with certain unusual words and the time it takes a participant to press a button indicating whether the word is singular or plural. All participants rate their familiarity with these on a scale of 1-7 (7 being highly familiar). All participants are timed as well and their reaction time is recorded in seconds. The raw scores from the three participants are listed below . Participant Familiarity rating (X) Reaction time (seconds) (Y) 1 6 1 2 2 3 3 3 4 a) Calculate the correlation coefficient. b) Does this mean that familiarity causes fast reaction time? Why or why not? c) Predict the raw reaction time for a familiarity rating of 4. d) What is the proportion of variance…