A student ran out of time on a multiple choice exam and randomly guessed the answers...
Q5. Professor Paymon ran out of time while taking the multiple-choice final exam and he guessed the answers on the last 6 questions! Each question has 4 possible choices, one of which is correct. Let X be the number of answers he correctly guessed in the last 6 questions. What is the probability that he answered exactly 3 questions correctly in the last 6 questions? You may round your answer to the nearest hundredth. (Please show formulas and calculations)
. 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...
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
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...
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 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 thequestions,she has decided on a strategy in which she will place two balls( marked (A 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. There are six multiple-choice questions on...
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 student is taking a multiple-choice exam in which each question has five 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 five balls (marked Upper A comma Upper B comma Upper C comma Upper D comma and Upper E) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the...
Problem 4 (Bernoulli Trials) [25 marks] A multiple-choice exam con- sists of 20 questions. Each question offers 4 choices, one and only one of them being correct. The exam is passed if at least 16 questions are answered correctly. What is the probability that someone answering randomly passes the exam
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...