TOPIC:Binomial distribution.
1. On a multiple choice exam with 4 possible answers for each of 7 questions, what...
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?
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...
Suppose you forget to study for an exam. The exam is multiple choice and has one correct answer of 4 possible choices. Suppose that the exam contains 20 questions of which you guess on every one. a. What is the probability that you get exactly 10 questions correct by guessing? b. What is the probability that you get at most 1 question correct by guessing? c. What is the probability that you get at least 1 question correct by guessing?...
An exam consists of 64 independent multiple-choice questions. For each question, there are five choices, with only one being correct. Suppose a student randomly guesses the correct answer to each question. (a) What are the mean and standard deviation of the number of successful guesses? (b) Use the normal approximation to find the probability that the student will correctly guess at most 10 correct answers.
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?
A student is taking a multiple-choice exam in which each question has two choices. Assuming that she has no knowledge of the correct answers to any of the questions, she has decided on a strategy in which she will place two balls (marked Upper A and Upper BA and B) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question....
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...
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 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.
A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A,B,C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are five...