onsider an exam which has n multiple choice questions. Each question has k possible answers, among...
4. A multiple-choice exam has 5 questions. Each question has 3 choices, one of which is the right answer. A student completes the exam by guessing. What is the probability that student gets 4 or more correct answers just by guessing?
. There are n questions on a multiple choice exam, and for each question, there are four choices. To pass the exam, one must correctly answer at least 70% of the questions. The student has not studied, so he/she has to resort to guessing on every question. a. Find the probability of the student passing for n = 10. b. Find the expected number of questions answered correctly for n = 20. c. Find the variance for the number of...
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.)
5. A student takes a multiple-choice exam where each question has 5 possible answers. He works a question correctly if he knows the answer, otherwise he guesses at random. Suppose he knows the answer to 80% of the questions. (a) What is the probability that on a question chosen at random the student gets the correct (b) Given that the student gets the correct answer to this question, what is the probability answer? that he actually knew the answer?
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...
Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a student who has done the homework and attended lectures has a 75% probability of answering any question correctly. A student must answer 43 or more questions correctly to obtain a grade What percentage of the students who have done their homework and attended lectures will obtain a grade A on this multiple-choice examination? A student who answers 35 to 39 questions correctly will receive...
Multiple-Choice Exam A student takes a 13-question, multiple-choice exam with two choices for each question and guesses on each question. Find the probability of guessing at least 9 out of 13 correctly. Assume the variable is binomial. Round the intermediate and final answers to three decimal places. P (guessing at least 9 out of 13 correctly) = x
Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a student who has done the homework and attended lectures has a 65% chance of answering any question correctly. (Round your answers to two decimal places.) (a) A student must answer 43 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination?...
A student takes an exam containing 1818 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.30.3. At least 1212 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will fail? Round your answer to four decimal places.
A student takes an exam containing 16 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.5. At least 11 correct answers are required to pass. If the student makes knowledgeable guesses, what is the probability that he will pass? Round your answer to four decimal places.