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12. In an entrance examination with multiple choice questions, with each question having four options and...
A student answers a multiple choice examination with questions that have four possible answers each. Suppose...
A student answers a multiple choice examination with questions that have four possible answers each. Suppose that the probability that the student knows the answer to a question is 0.80 and the probability that the student guesses is 0.20. If the student guesses, the probability of guessing the correct answer is 0.25. The questions are independent, that is, knowing the answer on one question is not influenced by the other question. (a) If there is one question on the exam...
A nationwide school examination in history included several multiple-choice questions. Each question had 4 possible answers,...
A nationwide school examination in history included several multiple-choice questions. Each question had 4 possible answers, only one of which was correct. In a sample of 1000 students from more than 100000 students who participated in the test it was found that 38% answered the first multiple- choice question correctly. Assume that if a student knew the answer to this question then with 100 percent chance he chose the right answer. If a student didn't know the answer, he tried...
Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a...
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...
Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a...
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?...
Richard has been given a 12-question multiple-choice quiz in his history class. Each question has four...
Richard has been given a 12-question multiple-choice quiz in his
history class. Each question has four answers, of which only one is
correct. Since Richard has not attended the class recently, he
doesn’t know any of the answers. The success occurs if Richard
answers a question correctly and the failure occurs if Richard is
unable to answer a question correctly. Assuming that Richard
guesses on all 12 questions, find the probability that he will
answer no more than 3 questions...
An examination consists of 10 multiple choice questions, in each of which a candidate has to...
An examination consists of 10 multiple choice questions, in each of which a candidate has to deduce which one of five suggested answers is correct. A completely unprepared student guesses each answer completely randomly. What is the probability that this student gets at most 2 questions correct?
3. You are taking a multiple-choice quiz that consists of 6 questions. Each question has four...
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
Richard has been given a 7-question multiple-choice quiz in his history class. Each question has four...
Richard has been given a 7-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. What is considered the success? Select one: a. number of questions answered b. Richard answers a question correctly. c. none of the choices d. number of questions e. Richard is unable to answer a question correctly.
A multiple-choice examination consists of 75 questions, each having possible choices a, b, c, and d....
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...
(5 points) A multiple-choice examination has 15 questions, each with 5 possible answers only one ...
(5 points) A multiple-choice examination has 15 questions, each with 5 possible answers only one of which is correct. Suppose that one of the students who takes the examination answers each of the questions with an independent random guess. What is the probability that the student answers at least four questions correctly? What is the expected number of questions that the student answers correctly? 4.
(5 points) A multiple-choice examination has 15 questions, each with 5 possible answers only one...
A nationwide school examination in history included several multiple-choice questions. Each question had 4 possible answers, only one of which was correct. In a sample of 1000 students from more than 100000 students who participated in the test it was found that 38% answered the first multiple- choice question correctly. Assume that if a student knew the answer to this question then with 100 percent chance he chose the right answer. If a student didn't know the answer, he tried...
Richard has been given a 12-question multiple-choice quiz in his
history class. Each question has four answers, of which only one is
correct. Since Richard has not attended the class recently, he
doesn’t know any of the answers. The success occurs if Richard
answers a question correctly and the failure occurs if Richard is
unable to answer a question correctly. Assuming that Richard
guesses on all 12 questions, find the probability that he will
answer no more than 3 questions...
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
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...
(5 points) A multiple-choice examination has 15 questions, each with 5 possible answers only one of which is correct. Suppose that one of the students who takes the examination answers each of the questions with an independent random guess. What is the probability that the student answers at least four questions correctly? What is the expected number of questions that the student answers correctly? 4.
(5 points) A multiple-choice examination has 15 questions, each with 5 possible answers only one...
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