Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of...

Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 500 and a standard deviation of 100. Find the probability that a student will score...

a) over 650

b) less than 459

c) between 325 and 675

d) If a school only admits students who score over 680, what proportion of the student's pool would be eligible for admission?

e) what limit (score) would you set that makes the top 20% of the students eligible?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of...

Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 500 and a standard deviation of 100. Find the probability that a student will score... a) over 650 b) less than 459 c) between 325 and 675 d) If a school only admits students who score over 680, what proportion of the student's pool would be eligible for admission? e) what limit (score) would you set that makes the top 20% of the students...

College entrance examination scores (X) have an approximately normal distribution with mean 500 and standard deviation...

College entrance examination scores (X) have an approximately normal distribution with mean 500 and standard deviation 100. (b) If 4 scores are selected at random, what is the distribution of their average? Include the name of the distribution and the values of any parameters. Show work if possible. (c) If 4 scores are selected at random, what is the probability that their average is 510 or greater? (d) If 25 scores are selected at random, what is the probability that...

The ACT is a college entrance exam. ACT test scores follow a normal distribution with a...

The ACT is a college entrance exam. ACT test scores follow a normal distribution with a mean of 22.2 points and a standard deviation of 4.9 points. Let X = number of points scored on the ACT. Answer the following questions. A. Jasmine scored a 28.227 on the ACT. Calculate Jasmine's Z-score. B. Interpret Jasmine's z-score in terms of the problem. C. What is the probability that a randomly selected individual gets an ACT score that is lower than Jasmine's?...

Test scores from a college math course follow a normal distribution with mean = 72 and...

Test scores from a college math course follow a normal distribution with mean = 72 and standard deviation = 8 Let x be the test score. Find the probability for a) P(x < 66) b) P(68<x<78) c) P(x>84) d) If 600 students took this test, how many students scored between 62 and 72?

. It is known that scores on a certain IQ test follow a normal distribution with...

. It is known that scores on a certain IQ test follow a normal distribution with mean 100 and standard deviation 15. For the whole population of test-takers, what proportion of scores will be greater than 124.0? Also, the top 3% of test-takers will have scores greater than what value? Finally, consider a random group of 16 people who take the IQ test. For these 16 people, what is the probability that their average (mean) IQ score will be less...

21- Scores on an examination are assumed to have a normal distribution with mean 78 and...

21- Scores on an examination are assumed to have a normal distribution with mean 78 and standard deviation 6. a) What is the proportion of scores that are higher than 75? b) What is the proportion of scores that fall between 75 and 87? c) Suppose that students scoring in the top 10% of this distribution are to receive an A grade. What is the minimum score a student must achieve to earn an A grade? PLEASE EXPLAIN YOUR ANSWER

he scores of students on the ACT (American College Testing) college entrance examination in a recent...

he scores of students on the ACT (American College Testing) college entrance examination in a recent year had the normal distribution with mean μ = 18 and standard deviation σ = 6. 100 students are randomly selected from all who took the test. a. What is the probability that the mean score for the 100 students is between 17 and 19 (including 17 and 19)? b. A student is eligible for an honor program if his/her score is higher than...

The scores of students on the ACT (American College Testing)college entrance examination in a recent year...

The scores of students on the ACT (American College Testing)college entrance examination in a recent year had the normal distribution with meanμ= 18 and standard deviationσ= 6. 100 students are randomly selected from all who took the test a.What is the probability that the mean score for the 100 students is between 17and 19 (including 17 and 19)? b.A student is eligible for an honor program if his/her score is higher than 25.Find an approximation to the probability that at...

Scores on the verbal portion of the GRE follow a normal distribution with a mean of...

Scores on the verbal portion of the GRE follow a normal distribution with a mean of 500 and standard deviation of 115. Suppose your score on the exam is 650. First, record the z-score associated with your score of 650. The z-score for 650 is __________ Second, determine the proportion (or percentage) of test-takers that you did better than ______________

The composite scores of individual students on the ACT college entrance examination in 2009 followed a...

The composite scores of individual students on the ACT college entrance examination in 2009 followed a normal distribution with mean 21.1 and standard deviation 5.1. What is the probability that a single student randomly chosen from all those taking the test scores 23 or higher? P( X >__?__ ) = P(z >__?__ ) = ____?__ What is the probability that a simple random sample of 50 students chosen from all those taking the test has an average score of 23...

Subjects