Problem 4 Midterm exam consists of three questions. There are four possible answers on each question,...
3. You are taking a multiple-choice quiz that consists of 6 questions. Each question has four possible answers, only one of which is correct. To complete the quiz, you randomly guess the answer to each question. a) Find the chance of guessing exactly three answers correctly b) Find the chance of guessing more than four answers correctly
onsider an exam which has n multiple choice questions. Each question has k possible answers, among which only one answer is correct. (a) Consider a student who chooses at random the answers for all questions of the exam. Let X be the number of correct answers of this student. What is distribution of X? What is the expected value of X? (b) To eliminate the effect of guessing, the instructor decides to mark the according to the following rule: for...
A student taking a midterm exam in Ancient History comes to two questions pertaining to a lecture that he missed, so he decides to take a random guess on both questions. One question is true-false and the other is multiple choice with four possible answers. 1. What is the probability of guessing the correct answers to both the true/false question and the multiple choice question? 2. What is the probability of guessing the incorrect answers to both the true/false question and...
6. You are about to take an exam with 5 questions, four possible answers for each question with only one correct answer per question. If you make only random guesses, (a) (2 points) find the probability of getting no correct answer. (b) (2 points) find the probability of getting no wrong answer. (c) (2 points) find the probability of getting at least one correct answer. (d) (2 points) find the probability of getting at least one incorrect answer.
A test consists of 25 multiple choice questions. Each question has 5 possible answers, or which only one is correct. If a student guesses on each question, find the following. a) The probability that he will guess all of them correct b)The probability that he will guess at most 15 correct. c)The probability that he will guess at least one correct. d) The mean and the standard deviation of the number of correct answers. e)Estimate the probability of the number...
1. On a multiple choice exam with 4 possible answers for each of 7 questions, what the probability that a student will get 6 or more correct just by guessing randomly? (Hint: the student has an independent 1/4 chance of answering each individual question successfully.)
A student answers all 48 questions on a multiple-choice test by guessing. Each question has four possible answers, only one of which is correct. Approximate the probability that the student gets at least 22 correct answers by using the normal distribution. The probability is:
A multiple choice test consists of 10 questions each with four choices (a,b,c,d) for each question. If a student must get at least 7 correct to pass the test, what is the probability that a student could pass the exam simply by guessing? Find your answer to 4 decimal places.
4. An exam paper consists of ten multiple choice questions, each offering four choices of which only one is correct. If a candidate chooses his answers I completely at random, what is the probability that (i) he gets at least 8 questions right, (ii) the last of the ten questions is the eighth one he gets right, (ii) in six such exams, he gets at least 8 questions right in at most one exam?
On a multiple choice test with 11 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the variance for the number of correct answers. Round to the nearest tonth. O A 20.6 OB 2.1 OC. 43 OD 14