a)P(gets correct answer)=P(knows and gets correct answer)+P(guess and gets correct answer)
=0.8*1+0.2*1/5 =0.84
b)P(knew the answer given gets correct answer)=P(knows and gets correct answer)/P(gets correct answer)
=0.8*1/0.84 = 0.9524
5. A student takes a multiple-choice exam where each question has 5 possible answers. He works...
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...
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.
5) A student takes a multiple choice test with 12 questions, Each question has 4 possible answers only one of which is correct. .If this student guesses on all of the questions what is the probability he gets exactly three correct answers? A) 0.1974 C) 0.2323 B) 0.2825 D) 0.2581 E) 0.1105
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.
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
10 + Example 3: Multiple choice exam of multiple- choice questions, each with 5 possible answers. L13, p. 89 Linda has probability 0.75 of knowing the answer to any question. If she does not know the answer she guesses. What is the probability she will give the correct answer? A= Linda knows the answer B=Linda gets the right answer how do you know?? GIVEN: P(A) = 0.75 P(BA) = 0.2 how do you know?? PAC) = 0.25 PCB{A) = 1...
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?
A student takes a multiple choice test consisting of 5 questions where there are 4 choices per question. Also, each question is worth 20 points. Suppose the student guesses on each question. Let X be the number of questions the student gets correct. The probability distribution for X is given below. Find the probability that the student gets at least a 60 on the test. Give your answer to four decimal places.
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 student takes an exam containing 19 multiple choice questions. The probability of choosing a correct answer by knowledgeable guessing is 0.4. If the student makes knowledgeable guesses, what is the probability that he will get exactly 5 questions right? Round your answer to four decimal places.