

.78 You belong to a class of 15 students. The teacher hands 15 graded assignments back...
A professor asks n students to peer grade their test papers. He hands out one of the n papers to each student uniformly at random. Show that with probability at least at 1−1/k, not more than k students get their own test paper. Hint: Consider the random variable Xi that denotes whether student i gets his/her own paper. Use Markov’s inequality.
A fifth grade teacher assumes that 15% of her students are late for class. If the teacher is accurate, what is the probability that the proportion of late students in a sample of 555 students would be less than 14%? Round your answer to four decimal places.
A teacher believes that whatever he says in class has no effect on his students. Just as he's about to quit his profession, a statistician enters the room and suggests that the teacher design a study to test his assumption. The study will look at whether providing in-class feedback on homework assignments enhances classroom performance. The teacher wants to know whether providing feedback before or after returning the assignments is most useful. He's also interested in the most effective means...
2. a. Jane is a math teacher who currently has a class of 10 students. If she decided to pick 3 students at random to each get 5 bonus points, in how many ways can she make her selection? 2.b. Suppose instead that Jane decides to award 15 points to one student, 10 to another and 5 to the third student. In how many ways can she award the points in this scenario? 2. c. Steve is one of Jane's...
52. In a class of 12 boys and 9 girls, the teacher selects three students at random to write problems on the board. What is the probability that all the students selected are boys? (Round your answer to four decimal places.)
Students in a chemistry class convince their teacher to use the following "group grading" scenario. Students will all take the exam on their own; however, the grade they receive will be the mean of their test score with 4 other randomly selected classmates. Assume that the test scores for this particular exam are normally distributed with a mean of 74 and a standard deviation of 12 points. What is the probability that the mean test score for your group falls...
2.53 Suppose that 15 employees are to be divided among 4 job assignments, with 3 going to job I, 4 going to job II, 6 going to job III, and 2 going to job IV. Suppose that job I is the least favorite among all employees and that three employees of a certain ethnic group all get assigned to job I. Assuming that they are the only employees among the 15 under consideration who belong to this ethnic group, what...
Your friend Raphael is an elementary school teacher. He has n students in his class, numbered 1,2,...,n. On a particularly chilly Wednesday, he decides to lure his students into attending his class by giving away candies to each of them. However, some children are mischievous and take more candies than allotted. The students who get lesser candies thus get sad, and need to be comforted. Therefore, Raphael wants your help in determining the index of the student who is the...
Suppose you are a teacher of a 5th grade class. In order to maximize students’ learning in mathematics and also to improve your practices, how would you utilize the following assessment methods for your students’ math learning? : norm-referenced assessment, criterion-referenced assessment, formative assessment , summative assessment, and portfolio assessment.
54. In a class of 15 students, 3 are math majors. A group of four students is chosen at random. (Round your answers to four decimal places.) (a) What is the probability that the group has no math majors? (b) What is the probability that the group has at least one math major? (c) What is the probability that the group has exactly two math majors?