Two students are registered for the same class and attend independently of each other, student A 90% of the time and student B 80% of the time. The teacher remembers that on a given day at least one of them is in class. What is the probability that student A was in class that day? (Round your answer to three decimal places.)
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Two students are registered for the same class and attend independently of each other, student A 90% of the time and student B 80% of the time. The teacher remembers that on a given day at least one of them is in class. What is the probability that student A was in class that day? (Round your answer to three decimal places.)
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- 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.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.) ?An educational researcher decided to predict the college GPA of entering students based on their high school GPA and the number of books they have read in the past year. Interpret the residual for a student with a College GPA equal to 3.00, a high school (HS) GPA equal to 2.87 and who has read 16 books in the past year. College GPA = 1.07 + 0.178(HS) GPA+1.05 books a) The student performed better than expected. b) The student performed exactly as expected. c) The student performed worse than expected. d) Cannot be determined from the given information.
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- First year student is wondering if there is any reason why one should get an education because he thinks there is no difference in earnings between the two. But Gilbert and Aaron think education has an impact on how much one earns. Gilbert and Aaron then decided to collect data from 10 people on the number of years they had spent in school and their monthly income. The following is the data they collected. ID Income Years of schooling1 3,000 142 4,500 163 17,000 84 8,000 165 6,500 126 10,000 67 20,000 188 5,500 159 10,000 310 1,000 13 Using the table above, answer the following questions;a. Calculate the b coefficientb. Calculate the a coefficientc. Estimate how much someone who has i. 0 years of schooling will earn ii. 20 years of schooling will earnd. Based on your answers in C above, what would be your conclusion to this debate? Is there an association between years of schooling and monthly income? Justify your answerApproximately 1.65 million high school students take the Scholastic Aptitude Test (SAT) each year, and nearly 80 percent of the college and universities without open admissions policies use SAT scores in making admission decisions. The current version of the SAT includes three parts: reading comprehension, mathematics, and writing. A perfect combined score for all three parts is 2400. A sample of SAT scores for the combined three-part SAT are as follows: a. Show a frequency distribution and histogram. Begin with the first bin starting at 800, and use a bin width of 200. b. Comment on the shape of the distribution. c. What other observations can be made about the SAT scores based on the tabular and graphical summaries?At freshman orientation, 1,500 students are asked to flip a coin 20 times. One student is crowned the winner (tossed 20 heads). This is most closely associated with A. selection bias. B. the lucky event issue. C. regret avoidance. D. overconfidence.
- The year Alan graduated college, he got a job as an entry-level software engineer working for a firm in the United States. His starting salary was $70,000. For the year Alan graduated, the starting salaries of all entry-level software engineers in the United States had a mean of $72,000 and a standard deviation of $5300. Find the 2-score of Alan's starting salary relative to the starting salaries among all the entry-level software engineers in the United States for the year Alas graduated. Round your answer to two decimal places. Xa. How many people visited one of the three coffee shops on Monday? b. What percent of people visited either PlanetEuro or Frothies on Monday? c. If Alicia had been able to achieve the same percentage of visitors for the entire week as she does on Monday, how many ADDITIONAL people would then visit Cool Beans?Problem 3-37 (Algorithmic) (LO. 3, 7) Taylor, age 15, is claimed as a dependent by her parents. For 2021, she has the following income: $5,200 wages from a summer job, $1,430 interest from a money market account, and $2,100 interest from City of Chicago bonds. If required, round your answers to the nearest dollar. If required, round your answers to the nearest dollar. If an amount is zero, enter "0". Click here to access the 2021 tax rate schedule. a. Taylor's standard deduction for 2021 is $ Taylor's taxable income for 2021 is $ b. Compute Taylor's "net unearned income" for the purpose of the kiddie tax. Compute Taylor's tax liability. [Her parents file a joint return and have taxable income of $135,000 (no dividends or capital gains).]