Suppose that three contestants on a quiz show answer questions. Each answers questions correctly independently of...
Suppose that three contestants on a quiz show answer questions. Each answers questions correctly independently of the others, with probability p. The difficulty of the question is a random variable. Suppose, for the sake of simplicity, that p is uniform on the interval [0,1]. What is the probability that exactly two contestants answer the question correctly.
3. In a TV show the contestants are given multiple choice questions with 5 possible answers. Suppose that there is a 75% chance the contestant knows the answer. If they don't know the answer they guess it with a 30% chance of getting it right. What is the probability that they are guessing?
A short quiz has two true-false questions and one multiple-choice question with four possible answers. A student guesses at each question. Assuming the choices are all equally likely and the questions are independent of each other, the following is the probability distribution of the number of answers guessed correctly. What is the Probability of getting less than all three right? X 0 1 2 3 P(X) .1875 .4375 .3125 .0625 Group of answer choices a) 1.0000 b) .9375 c) .6250 d) .3125
A quiz consists of 6 multiple-choice questions. Each question has 4 possible answers. A student is unprepared, and he has no choice but to guess answers completely at random. He passes the quiz if he gets at least 3 questions correctly. What is the probability that he will pass?
3. You are taking a multiple-choice quiz that consists of 6 questions. Each question has four possible answers, only one of which is correct. To complete the quiz, you randomly guess the answer to each question. a) Find the chance of guessing exactly three answers correctly b) Find the chance of guessing more than four answers correctly
a multiple choice quiz consists of 20 questions, each of which has five possible answers of which only one is correct. A student passes the quiz if twelve or more correct answers are obtained. what is the probability of passing the quiz if on each question, a student can eliminate two incorrect answers and then guess between the remaining three? (answer format _._ _ _ _ _ _)
A quiz consists of 20 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability getting exactly 4 questions correct
A teacher gives an unannounced, three-question true false pop quiz, with two possible answers to each question. Complete parts (a)-(C) below. 2. Use a tree diagram to show the possible response patterns, in terms of whether any given response is correct or wrong. Choose the correct answer below. ОА OB OC OD C w w How many outcomes are in the sample space? There are outcomes in the sample space. b. An unprepared student guesses all the answers randomly. Find...
Yes sin ☺ (A) SUPPOSE A MULTIPLE CHOICE Quiz Bing HAS 10 QUESTIONS. EACH QUESTIOU p - Plright answers) "answeis) HAS 5 POSSIBLE ANSWERS: a, b, c, d ore. ASSUME You ARE GUESSING THE ANSWER TO EACH QUESTION. (0) Write Out A MATHEMATICAL EXPRESSION FOR THE PROBABILITY OF GUESSING 4 OR MORE CORRECT AW SWERS. (i) How MANY CORRECT ANSWERS DO you EXPECT TO OBTAIN? WHAT is THE STANDARD DEVIATION?
Suppose a quiz has 12 multiple choice questions. Each question has 4 answer choices. If a student takes the quiz and randomly guesses on every question.... Find the probability the student gets between 1 and 6, exclusive, questions correct? Find the probability the student gets more than 8 questions correct?