Probability
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. 
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Exercise 1.4. On a multiple-choice exam with four choices for each question, a student either knows...
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?
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?
Question 1 5 pts A multiple choice exam has 85 questions on it (4 choices each...
Question 1 5 pts A multiple choice exam has 85 questions on it (4 choices each question) What is the probability of getting 28 questions right on such an exam? Round your answer to four decimal places Question 2 5 pts A multiple choice exam has 94 questions on it (5 choices each question) What is the probability of getting 19 questions right on such an exam? Round your answer to four decimal places Question 3 5 pts Suppose Bobby...
Statistics question
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...
A student is taking a multiple-choice exam in which each question has four choices. Assume that...
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 takes an exam containing 12 multiple choice questions. Each question has 5 choices. At...
A student takes an exam containing 12 multiple choice questions. Each question has 5 choices. At least 8 correct answers are required to pass. If the student guesses, what is the probability that he will pass? Round your answer to four decimal places.
onsider an exam which has n multiple choice questions. Each question has k possible answers, among...
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...
Each question on a multiple-choice exam has five choices. One of the choices is the correct...
Each question on a multiple-choice exam has five choices. One of the choices is the correct answer, worth 7 points, another choice is wrong but still carries partial credit of 4 points, and the other three choices are worth 0 points. If a student picks answers at random, what is the expected value of his or her score for a problem? points If the exam has 20 questions, what is his or her expected score? points
1. If a die is rolled 3 times, find the probability of getting at least 1...
1. If a die is rolled 3 times, find the probability of getting at least 1 even number. 2. A student takes a 3-question, multiple-choice exam with 4 choices for each question out of which one choice is correct and guesses on each question. Find the probability that the student guessed two questions correctly.
A student takes an exam containing 10 multiple choice questions. Each question has 5 choices. If...
A student takes an exam containing 10 multiple choice questions. Each question has 5 choices. If the student guesses, what is the probability that he will get less than 7 but more than 5 questions right? Round your answer to four decimal places.
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?
Question 1 5 pts A multiple choice exam has 85 questions on it (4 choices each question) What is the probability of getting 28 questions right on such an exam? Round your answer to four decimal places Question 2 5 pts A multiple choice exam has 94 questions on it (5 choices each question) What is the probability of getting 19 questions right on such an exam? Round your answer to four decimal places Question 3 5 pts Suppose Bobby...
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...
Each question on a multiple-choice exam has five choices. One of the choices is the correct answer, worth 7 points, another choice is wrong but still carries partial credit of 4 points, and the other three choices are worth 0 points. If a student picks answers at random, what is the expected value of his or her score for a problem? points If the exam has 20 questions, what is his or her expected score? points
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