Sam takes a multiple choice test with two questions and four possible answers to each (A,...
Sam takes a multiple choice test with two questions and four possible answers to each (A, B, C, D), of which only one is correct. He didn’t study so doesn’t know the material at all. As a result, he randomly chooses his answer to each question.:
a. Thinking of his two choices as the random outcomes of interest, what is the sample space? (2 marks)
b. What is the probability that he will get at least one
question correct? (2 marks)
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Sam takes a multiple choice test with two questions and four
possible answers to each (A,...
A multiple choice test has 25 questions, each with 5 possible choices, exactly one of which...
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...
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Suppose you are taking an exam that only includes multiple choice questions. Each question has four...
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onsider an exam which has n multiple choice questions. Each question has k possible answers, among...
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 test has 5 multiple choice questions with four choices with one correct answer each
QUESTION 11 A test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 questions correct? The probability a certain virus infects a random person is 0.2. If a random sample of 12 people is taken, what is the probability that exactly 5 people are infected?
5) A student takes a multiple choice test with 12 questions, Each question has 4 possible...
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4. An exam paper consists of ten multiple choice questions, each offering four choices of which...
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A multiple-choice examination consists of 75 questions, each having possible choices a, b, c, and d....
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A multiple-choice test has 20 questions. Each question has 4 possible answers, of which only one ...
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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...
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...
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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?
A multiple-choice examination consists of 75 questions, each having possible choices a, b, c, and d. Approximate the probability that a student will get more than 18 answers correct if he randomly guesses at each answer. (Note that, if he randomly guesses at each answer, then the probability that he gets any one answer correct is 0.25.) Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not...
A multiple-choice test has 20 questions. Each question has 4 possible answers, of which only one is correct. (i) If you randomly answered each question, what is the name of the distribution for the number of possible marks you could achieve for the whole test? Explain your reasons and give the values for the parameters of that distribution.* (ii) If the pass mark for the test is 60% (i.e. 12 marks or more), what is the probability that you will...
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