The Venn diagram below shows the students in Ms. Morris's class. The diagram shows the memberships for the Tennis Club and the Soccer Club. A student from the class is randomly selected. Let denote the event "the student is in the Tennis Club." Let denote the event "the student is in the Soccer Club." The outcomes for the event are listed in the circle on the left. The outcomes for the event are listed in the circle on the right. Note that Linda is outside the circles since she is not a member of either club. Answer Submitted: (a) Find the probabilities of the events below. Write each answer as a single fraction. (b) Select the probability that is equal to . Correct Answer: (a) Find the probabilities of the events below. Write each answer as a single fraction. (b) Select the probability that is equal to . P(A)= P(B)= P(A and B)= P(A) * P(B/A)=1/6

A history class is comprised of 8 female and 7 male students. If the instructor of the class randomly chooses 5 students from the class for an oral exam, what is the probability that 3 female students and 2 male students will be selected? Round your answer to 3 decimal places. (If necessary, consult a list of formulas.) ?

Answer the following questions in a separate document. Explain how you reached the answer or show your work if a mathematical calculation is needed, or both. Submit your assignment using the assignment link. This course requires the use of Strayer Writing Standards. For assistance and information, please refer to the Strayer Writing Standards link in the left-hand menu of your course. Check with your professor for any additional instructions. Please respond to the following: You have just won the Strayer Lottery jackpot of $11,000,000. You will be paid in 26 equal annual installments beginning immediately. If you had the money now, you could invest it in an account with a quoted annual interest rate of 9% with monthly compounding of interest. What is the present value of the payments you will receive? In your own words and using various bond websites, locate one of each of the following bond ratings: AAA, BBB, CCC, and D. Describe the differences between the bond ratings. Identify the…

The Scholastic Aptitude Test (or SAT) is a standardized college entrance test that is used by colleges and universities as a means for making admission decisions. The critical reading and mathematics components of the SAT are reported on a scale from 200 to 800. Several universities believe these scores are strong predictors of an incoming student’s potential success, and they use these scores as important inputs when making admission decisions on potential freshman. The tile RugglesCollege contains freshman year GPA and the critical reading and mathematics SAT scores for a random sample of 200 students who recently completed their freshman year at Ruggles College. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters β0, β1, and β2, is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? Using the multiple linear regression model you developed in part (a), what is the predicted freshman GPA of Bobby Engle, a student who has been admitted to Ruggles College with a 660 SAT score on critical reading and at a 630 SAT score on mathematics? The Ruggles College Director of Admissions believes that the relationship between a student’s scores on the critical reading component of the SAT and the student’s freshman GPA varies with the student’s score on the mathematics component of the SAT. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores and their interaction as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters β0, β1, β2, and β3 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Do these results support the conjecture made by the Ruggles College Director of Admissions? Do you prefer the estimated regression model developed in part (a) or part (c)? Explain. What other factors could be included in the model as independent variables?