10 + Example 3: Multiple choice exam of multiple- choice questions, each with 5 possible answers....
5. A student takes a multiple-choice exam where each question has 5 possible answers. He works a question correctly if he knows the answer, otherwise he guesses at random. Suppose he knows the answer to 80% of the questions. (a) What is the probability that on a question chosen at random the student gets the correct (b) Given that the student gets the correct answer to this question, what is the probability answer? that he actually knew the answer?
Mary's Final Exam for Psychology has 10 True/False questions and 10 multiple choice questions with 4 choices for each answer. Assuming Mary randomly guesses on every question: **Write answers using 3 decimal places* a.) What's the probability that she gets at least 8 of the 10 true/false questions correct? b.) What's the probability that she gets at least 6 of the 10 multiple choice questions correct? c.) If the multiple choice questions had 5 choices for answers instead of 4,...
28) A multiple choice history exam contains 5 choices per question. Sally knows 90% of the material that the exam covers, when she doesn't know the answer to a question, she guesses. Determine the probability that Sally knew the answer to problem #17, given that she answered it correctly. a) .9924 b) .9783 c).9567 d) .9318 e).9000
Problem 5 (Bayes’ rule). A student is taking a multiple-choice exam in which each question has four possible answers. She knows the answers to 60% of the questions and guesses at the others. What is the probability that she guessed given that she guessed question 12 right?
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...
3. [10 Points! Consider an exam with multiple choice questions. Assume that each question has three solution choices but only one of them is correct. A student who didn't study for the exam is going to make a guess. 3. What is the probability that he guesses only 15 questions correctly What is the probability that he guesses at least 15 questions correctly c. What is the probability that he guesses more than 10 and less than 15 questions correctly?...
3. [10 Points) Consider an exam with 28 multiple choice questions. Assume that each question has three solution choices but only one of them is correct. A student who didn't study for the exam is going to make a guess. a. What is the probability that he guesses only 15 questions correctly? b. What is the probability that he guesses at least 15 questions correctly? c. What is the probability that he guesses more than 10 and less than 15...
7. In answering a question on a multiple-choice test, a student either knows the answer or guesses. Let p be the probability that the student knows the answer and 1-p be the probability that the student guesses. Suppose there are 5 multiple-choice alternatives so a student who guesses at the answer will be correct with probability 1/5. (o) Show that the probability that a student knew the answer to a question given that he or she (b) What is the...
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?
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