A professor gives a list of 10 problems and tells his students that the exam will consist of 4 of the problems selected at random. If a student knows how to solve 6 of the problems, what is the probability that the student will make a perfect score on the exam?
What is the discrete probability distribution used for this problem?
Hypergeometric
4 questions from 6 can be selected in 6C4 ways
Required probability = 6C4/10C4
= 0.0714
A professor gives a list of 10 problems and tells his students that the exam will...
1. A statistics professor posted 10 review problems on probability distributions: 4 problems were on discrete distributions and 6 on continuous distributions. He then announced to his students that he will randomly select 3 problems out of those posted problems and use them on the midterm exam. Let X be the number of posted problems the professor ends up using on the exam that deal with discrete distributions. a. How many different selections of 3 problems are possible? b. Find...
A professor gives his students 6 essay questions to prepare for an exam. Only 2 of the questions will actually appear on the exam. How many different exams are possible?
An instructor gives his class a set of 16 problems with the information that the next quiz will consist of a random selection of 6 of them. If a student has figured out how to do 11 of the problems, what is the probability that he or she will answer correctly A) all 6 problems? B) at least 5 problems?
(1 point) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection or 7 of them. If a student has figured out how to do 12 of the problems, what is the probability the he or she will answer correctly (a) all 7 problems? (b) at least 6 problems? (1 point) An instructor gives his class a set of 18 problems with the information that the next...
16. From experience, a professor knows that the test score of students taking a final examination is a random variable with mean 65. A. Give an upper bound on the probability that a student's test score will exceed 75 B. Suppose in addition the professor knows that the variance of a student's test score is equal to 30. What can be said about the probability that a student will score between 55 and 75? C. How many students would have...
A professor tells student A that the final exam will be closed book. Then student A relays the information to student B, who passes it to student C and on again, ... There is a 10% chance that a student will change 'closed book' to 'open book' and a 10% chance that a student will change 'open book' to 'closed book' when communicating the information to a fellow student. (a) Define states, draw a transition diagram, and compute the transition...
PROBLEMS INSTRUCTIONS #3 _ 4 points Suppose that from the past experience a professor knows that the test score of a student taking his final examination is a random variable with mean 75 and standard deviation 8. How many students would have to take the examination to ensure, with probability at least 0.94, that the class average would be within 2.5 of 75? Hints: Your answer is a number of people so consider if you should be using decimal values....
One professor grades homework by randomly choosing 3 out of 7 homework problems to grafe. If a student completed the selected problems, he or she will get a perfect score. Elise did 5 problems. What is the probability that she will get a perfect score.
From past experience, a professor knows that the test score of a student taking his final examination is a random variable with mean 67.8 and standard deviation of 6.5. (a.) How many students would have to take the examination to ensure, with probability at least 0.94, that the class average would be within 2.5 of 67.8?