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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...
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?
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...
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 usi...
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...
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...
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?
3. [10 Points! Consider an exam with multiple choice questions. Assume that each question has three...
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?...
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...
3. [10 Points) Consider an exam with 28 multiple choice questions. Assume that each question has...
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...
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...
The Auditing and Attestation (AUD) part of the CPA exam has 72 multiple choice questions with...
The Auditing and Attestation (AUD) part of the CPA exam has 72 multiple choice questions with 6 options each (a through f). Let G represents the correct guesses in the test, knowing that the accountant did not study well for the test.What is the P(G=25)? What is P(G≥38)? P(16<G≤35)? P(G≤30)? Create a Probability distribution for this problem. Please I need this question explained how to do it in Excel
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
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?...
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 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...
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