A teacher will pick one student at random from 25 for the lead in a play what is the probability of a student Joe of winning.
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- A teacher will pick one student at random from 25 for the lead in a play what is the probability of a student Joe of winning.
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- 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.) ?A test was given to a group of students. The grades and gender are summarized below A B C Total Male 10 6 18 34 Female 3 20 8 31 Total 13 26 26 65 If one student is chosen at random from those who took the test, Find the probability that the student got a 'A' GIVEN they are male. Round to 4 decimal places, as needed.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 test was given to a group of students. The grades and gender are summarized below A B C Total Male 10 6 18 34 Female 3 20 8 31 Total 13 26 26 65 If one student is chosen at random from those who took the test,Find the probability that the student got a 'A' GIVEN they are male.Suppose all incoming freshmen at a private college must take an entrance exam. Suppose the scores have normal distribution with a mean of U = 420 and standard deviation of σ = 95. (Show your work by indicating what calculator commands and input you use to find your answers. Round your answer to 1 decimal place.) No Work No Crédit. 1. If a student scores in the bottom 8%, they must attend summer school. What would a student have to score to avoid summer school? Sketch a corresponding normal curve in your solution. Interpret your answer in a complete sentence. 2. If a student scores in the top 4%, they get a free vacation in Hawaii. What would a student have to score to get the vacation? Sketch a corresponding normal curve in your solution. Interpret your answer in a complete sentence.Marivic is interested in the effect of playing puzzle games on academic achievement. She devised a scale that measures how often an individual plays puzzle games such as Sudoku, and uses student GPA has a measure of academic achievement. She finds that the correlation between the two variables is 0.40 and has a regression coefficient of 0.25. What is the percentage of variation in academic achievement accounted for by playing puzzle games?
- The results are as followed, 70 percent of the people said yes it is for denise and 30 percent said it is not. For Frank 50 percent said yes it is, and 50 percent said that it is not. 1) Present the game results: Include the empirical results recorded in the lab (or use the results provided). Discuss any strategies you adopted or any issues you encountered in the experiment. 2) Solve the game: Represent the game as a matrix or game tree (appropriate to the game at hand) Solve the game according to the assumptions of game theory explain detailing how you did this. 3) Comparison: Compare the empirical results in 2) to your formal solution in 3); Is there any variation between them? Comment on potential reasons for any variation (or lack of variation).Q1)What is the interpretation of beta? Provide one (numerical) example. Q2)What was the main learning outcome with the case that involved Lyxor ChinaH, Lyxor MSIndia and Lyxor USDJIA? Briefly explain.The questions in this section contribute to your assignment grade. Stars indicate the difficulty of the questions, as described on Canvas. 2. Mark and Elyse buy a lottery ticket together. They win a promotion that guarantees them free apples for life. The apples can only be delivered to one recipient. Mark decides to buy Elyse out of her share of the win. That is: Mark will receive all the apples (for life) and Elyse will receive cash (once). The deliveries of apples are valued at $1000 per year. The friends consult an actuarial table, and decide that they both can reasonably be expected to live another 50 years. So, Elyse proposes that Mark pays her $25,000 for her half of the windfall. Mark, sensing an opportunity for calculus and for profit, declines her offer. He explains his objection: "If I pay you a dollar now, and get a dollar back 50 years later, that's not a good deal for me." Mark and Elyse agree on a future discounting rate of 10% per year. They calculate it as follows:¹ D…
- A professor wants to investigate the relationship between the grades students obtain in their midterm exam (X) and the grades they obtain (Y) in the final exam. The professor collects data from 60 randomly chosen students. The estimated OLS regression is Ý = 45 +0.85X, where Y, denotes the predicted value of the grades obtained in the final exam by the " individual and X, denotes the grades obtained in the midterm exam. From the sample data he makes the following calculations: 60 3230 48, j= 1 60 3D1 ^2 where u, is the square of the residual for the " observation. He wants to test whether the grades obtained in the midterm exam have any effect on the grades obtained in the final exam or not. Which of the following are the null and the alternative hypotheses of the test the professor wishes to conduct? OA. Ho B1=0 vs. H B1 #0. Ho: B1=0 vs. H B, #0. O B. Ho B=D0.85 vs. H, B,#0.85. C. Ho BA #0 vs. HA B.=0. Click to select your answer(s). DAL Type here to search IIA black box has a total of 10 balls sitting inside. One ball is labeled $100. Two balls are labeled $200, and seven balls are labeled $300. Suppose that you are offered the opportunity of picking one ball at random, meaning you choose one ball but you can’t see it. What is the expected value of this opportunity? Select one: a. $260 b. $230 c. $285 d. $245 e. $215The 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?