Section 3.2 20. Classifying Events. A uniquely numbered ball is randomly selected from a bin. Then another ball is selected from the bin. Are the events for selecting the balls independent or dependent? Problems 21 -25.Use the information in Table 4 to answer the questions. Round results to 3 decimal places. Table 4. Students Enrolled in Nursing Nursing Non-Nursing Majors Majors Males 295 684 Females 422 521 Total 717 1205 21. Find the probability that a randomly selected student is male. 22. Find the probability that a randomly selected student is non-nursing major. 23. Find the probability that a randomly selected student is a nursing major given that the student is a female. 24. Find the probability that a randomly selected student is a nursing major and female. 25. Are the events being a female student and being a non-nursing major independent or dependent events? Show the probability calculations that support your answer. Assignment Problems Section 9.1 1. True or False? When creating a scatter plot, the independent variable is measured on the vertical axis and the dependent variable is measured on the horizontal axis. 2. Explain. A researcher is studying the relationship between two variables. Assume the horizontal axis variable is :2: and the vertical axis variable is y. The correlation coefficientm, is calculated and it has a value that is negative. Reading from left-to-right, what trend should you observe in a scatter plot of the data for the two variables. Problems 3-5 Use the data sets in Table 1 to answer the questions. Table 1. The number of crimes reported (in millions) and the number of arrests reported (in millions) by the U.S. Department of Justice for 14 years. Crimes, ac Arrests,y 1.44 0.36 1.49 0.37 1.36 0.34 1.42 0.36 1.42 0.37 1.39 0.36 1.48 0.39 1.50 0.37 1.42 0.35 1.41 0.34 1.38 0.34 1.45 0.36 1.44 0.37 1.47 0.38 Section 3.1 Problems 12-13. Answer the following questions. A probability experiment is conducted by first spinning the spinner shown in Figure 2a, then spinning the spinner in figure 2b. Figure 2a. Spinner Figure 2b. Spinner 12. What set represents the sample space (Note: show all elements of the sample space using set notation.) 13. Draw a tree diagram for the probability experiment. 14. Multiple Choice Quiz. A multiple choice quiz has ve possible answers per question. Assuming that no questions are left unanswered, in how many ways can an 8 question multiple choice quiz be answered? 15. A probability is considered unusual if it is less than what value? 16. True or False? A probability value, p, will always be a value in the interval [0, 1]. 17. Probability Experiment. A probability experiment consists of spinning two spinners (Note: The spinners are the same ones in Figure 2a and Figure 2b.). What is the probability of spinning a # or a "/0 on the rst spinner, then spinning a value of 2 or 3 on the second spinner? (Note: you can assume an equal probability for any possible outcomes on either spinner.) 18. Use the frequency distribution in Table 3. Find the probability that a building resident chosen at random is between 35 and 64 years old?. Table 3. Ages of Building Residents Ages of Building Residents Frequency 18 to 20 years old 19 21 to 24 years old 37 25 to 34 years old 43 35 to 44 years old 27 45 to 64 years old 39 65 years old and over 35 19. Use the pie chart in Figure 3 to nd the probability that a student attained a B or a C on the quiz? (Round results to 3 decimal places.) Figure 3. The grades attained by students on a recent quiz. A 4 B 22 C 28 IA .5 D 3 It F 4 ID IF Section 3.2 20. Classifying Events. A uniquely numbered ball is randomly selected from a bin. Then another ball is selected from the bin. Are the events for selecting the balls independent or dependent? Problems 21-25.Use the information in Table 4 to answer the questions. Round results to 3 decimal places. Table 4. Students Enrolled in Nursing Nursing Non-Nursing Majors Majors Males 295 684 Females 422 521 Total 717 1205 3. Display the data in a scatter plot. (Please, orient the x and yaxes in the usual way.) 4. Calculate the correlation coefficient, 9\" (Note: use technology for the calculation; round result to 3 decimal places.) 5. What do you conclude about the type of correlation? Section 9.2 6. Residuals. If the observed yvalue at a data point is 10 and the predicted y value for that point is 6, then the residual is what value? 7. If? = 5, g = 10, and m = 2.5, what is the value ofb in the regression equation. Problems 8-11. Use the data in Table 2 to answer the questions. TabkaZ. a: y 26 58 47 110 37 82 24 51 43 101 39 83 8. What is the equation of the regression line (Round the coefficients to 3 decimal places)? 9. Construct a scatter plot for the data showing the regression line and the data points on the same graph. Problems 10-11. Use the regression equation found in question 9 to predict the value of y for the values of a: given. If it is not meaningful to predict the value of y, explain why not. 10.30244 11.32253