If a student answer a question correctly he will get 4 marks. In case of giving wrong answers he will get - 1 marks. For unanswered questions he will get 0 marks. Determine the number of different total marks.
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. 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...
A test contains 10 multiple-choice questions. Each question has 4 answers and only 1 answer is correct. Suppose a student just randomly selects an answer for each question. What is the probability that the student will answer 2 or fewer questions 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 takes a test consisting of 10 multiple choice questions. Each question has four answers, but only one correct answer. (a) What is the probability that the student answers exactly seven questions correctly? (b) What is the probability that the student answers at most two questions correctly?
Suppose Jon is taking a test with 5 true-false questions and 5 multiple questions with 4 choices each. He knows nothing so he will answer randomly a) find the expected number of true-false questions he will answer correctly? b) Find the probability that Jon answers exactly 7 questions correctly? c) Find the expected number of total of questions he will answer correctly ?
Exercise 1.4. On a multiple-choice exam with four choices for each question, a student either knows the answer to a question or marks it at random. Suppose the student knows answers to 70% of the exam questions. If she marks the answer to question 1 correctly, what is the probability that she knows the answer to that question?
A multiple choice test has 25 questions, each with 5 possible choices, exactly one of which is correct. The test is marked by giving four points to each correct choice, and subtracting one point for each incorrect choice. No points are either given or subtracted for questions for which no choice is selected. Mickey, Bianca, and Gerry each know the answer to 12 of the 25 questions, but are unsure about the rest. Mickey leaves the other 13 unanswered, whereas...
A quiz consists of 6 multiple-choice questions. Each question has 4 possible answers. A student is unprepared, and he has no choice but to guess answers completely at random. He passes the quiz if he gets at least 3 questions correctly. What is the probability that he will pass?
A student guesses on every question of a multiple-choice test that has 8 questions, each with 4 possible answers. What is the probability that the student will get at least 6 of the questions right?
Consider a multiple choice exam of 20 questions. Suppose each question has four choices and only one of them is correct. If a student is going to guess answers, what is the probability that he answers i.) all questions correctly? ii.)more than 10 questions correctly? iii.)more than 5 and less than 10 correctly? iv.) How many Questions do you expect him to answer correctly?