Example 3 The scores on a midterm exam follow a normal distribution with an average of...
If SAT scores follow normal distribution with average of 500 and a standard deviation of 50, then: What is the probability that a score of randomly selected student will be between 400 and 600?
3. Let (X. X2) be standard bivariate normal with p = 3/5. Let (Y.Y2) be the midterm and final exam scores of a randomly selected student. Assume Y1 = 80 +3X1Y2 = 75 + 2X2. Given a student got 90 in the midterm exam, (a) What is the conditional expectation and conditional variance of her final exam score? Hint. Probably easier to reduce the question to (X1, X2) but also (Y1. Y2) is a normal bivariate. (b) What is the...
Assume that scores on the verbal portion of the GRE (Graduate Record Exam) follow the normal distribution with mean score 151 and standard deviation 7 points, while the quantitative portion of the exam has scores following the normal distribution with mean 153 and standard deviation 7.67. Use this information to answer the following: (Please round to two decimal places) a) Find the score of a student who scored in the 80th percentile on the Quantitative Reasoning section of the exam....
Normal Probability Distribution Instructions: Read the scenario and answer the questions below. Round al probablities and proportions to 4 dedimal places The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. (Source:www.ets.org). A grad school requires that students score above 160 to be admitted. 1. What proportion of combined GRE scores can be expected...
Suppose test scores on a certain exam follow a normal distribution with μ = 70. If 8% of students scored above 80, what is the standard deviation of the distribution?
If the SAT scores of students in a high school follow the normal distribution with mean = 1200 and standard deviation = 100, what is the probability that a randomly selected student's score is between 1000 and 1400? OA 0.9973 B. 0.9545 OC. 0.9999 OD. 0.6827 Reset Selection
The scores on a statistics exam had an approximately normal distribution, with a mean of 73 and standard deviation of 7.2. If a single student is chosen at random, what is the probability their score is less than 74?
Consider the following scatterplot, regression equation, and correlation of midterm and final exam scores for a class of 15 students. Which of the following are true statements? Select one answer ı points Y ะ 90.6-0.489x , r -0.602 110 100 90 80 , 5어 2 20 40 60 80 100 Mdterm Exam Score I. The same number of students scored 100 on the midterm exam as scored 100 on the final exam. II. Students who scored higher on the midterm...
Scores in an exam to measure understanding of probability before a class is taught at a university have an average of 35 with standard deviation 5. After the course is taught, the average exam score is 80 with standard deviation 6. There is a correlation between the pre-class and post-class score of 0.7. The scores are jointly distributed according to the bivariate normal distribution. (a) What is the probability that the post-course score (the score after the course has been...
In an examination the probability distribution of scores (X) can be approximated by normal distribution with mean 69.5 and standard deviation 9.3. Suppose one has to obtain at least 55 to pass the exam. What is the probability that a randomly selected student passed the exam? [Answer to 3 decimal places] Tries 0/5 If two students are selected randomly what is the chance that both the students failed? [Answer to 3 decimal places] Tries 0/5 If only top 4% students...