p = 1/4 = 0.25
n = 12
P(X = 3) = 12C3 * 0.253 * (1 - 0.25)12-3 = 0.2581
Option-A) 0.2581
5) A student takes a multiple choice test with 12 questions, Each question has 4 possible...
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 test consists of 25 multiple choice questions. Each question has 5 possible answers, or which only one is correct. If a student guesses on each question, find the following. a) The probability that he will guess all of them correct b)The probability that he will guess at most 15 correct. c)The probability that he will guess at least one correct. d) The mean and the standard deviation of the number of correct answers. e)Estimate the probability of the number...
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.
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.
A student takes a test consisting of 10 multiple choice questions. Each question has four answers, but only one correct answer. (a) What is the probability that the student answers exactly seven questions correctly? (b) What is the probability that the student answers at most two questions correctly?
A student answers all 48 questions on a multiple-choice test by guessing. Each question has four possible answers, only one of which is correct. Approximate the probability that the student gets at least 22 correct answers by using the normal distribution. The probability is:
A multiple choice test consists of 60 questions. each question has 4 possible answers of which one is correct. If all answers are random guesses, estimate the probability that of 140 randomly selected seeds, exactly 100 will germinate
Question 7 (4 points) 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. x10 11 12 13...
A multiple choice test has 10 questions each of which has 4 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?
12) A student takes a 10-question multiple-choice test by guessing. Each question has 4 choices. Use the binomial distribution to compute the following probabilities. a. The student gets at most 2 correct. Ye E,,W)b. The student gets exactly 3 correct. The student gets at least 7 correct. a 54167 c. 2.