Question

Section II – During finals week, some instructors tend to use multiple-choice (A, B, C, or...

Section II – During finals week, some instructors tend to use multiple-choice (A, B, C, or D) and true/false questions on the exam. Let us continue working with multiple-choice problems, but let us say instead that the instructor has eight (8) multiple-choice problems with *four possible choices* for each problem. Use this information for all problems on this page!

What are the four requirements for an experiment to be a binomial experiment?

Do the eight multiple-choice questions satisfy those requirements? Explain your answer.

What is the probability of obtaining exactly 5 correct answers?

What is the probability of obtaining at least 5 correct answers?

What is the probability of obtaining at most 6 correct answers?

Homework Answers

Answer #1

The four requirements for an experiment to be a binomial experiment :

  • number of trials is fixed . in this case n = 8
  • There are only two possible outcomes in each trial - a correct answer or a incorrect answer
  • The probability of answering each questions correctly does not depend on other questions.
  • The probability of correctly answering each question is fixed, one of the four options is correct, so

So, X ~ Binomial( n = 8, p = 0.25)

The probability mass function of X is

Now,

The probability of obtaining exactly 5 correct answers

The probability of obtaining at least 5 correct answers

c) The probability of obtaining at most 6 correct answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Jimmy has a quiz today that is multiple choice (a, b, c, or d) with ten...
Jimmy has a quiz today that is multiple choice (a, b, c, or d) with ten questions, but he did not study, so he decides to randomly mark answers on his scantron without reading the questions. a) Why should the number of questions Jimmy gets correct on the quiz follow a binomial distribution, to wit, what are the requirements to use a binomial distribution and how are they met in this scenario? b) List the parameters that define this distribution...
A multiple choice test consisting of 10 questions. each question has four choices. a,b,c, and d...
A multiple choice test consisting of 10 questions. each question has four choices. a,b,c, and d tell how you would find the probability of guessing at least one correct answer, without the use of binomial probability formula. what rule would your use to simplify your solution?
Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice...
Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 100 multiple-choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options {A, B, C, D}. Correct Answers (n = 100) A B C...
Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice...
Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 100 multiple-choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options {A, B, C, D}. Correct Answers (n = 100) A B C...
Multiple Choice Strategy: Some students have suggested that if you have to guess on a multiple-choice...
Multiple Choice Strategy: Some students have suggested that if you have to guess on a multiple-choice question, you should always choose C. Carl, the student, wants to investigate this theory. He is able to get a sample of past tests and quizzes from various teachers. In this sample there are 110 multiple-choice questions with four options (A, B, C, D). The distribution of correct answers from this sample is given in the frequency table below. Correct Answer Frequency A 21...
Multiple Choice Strategy: Some students have suggested that if you have to guess on a multiple-choice...
Multiple Choice Strategy: Some students have suggested that if you have to guess on a multiple-choice question, you should always choose C. Carl, the student, wants to investigate this theory. He is able to get a sample of past tests and quizzes from various teachers. In this sample there are 90 multiple-choice questions with four options (A, B, C, D). The distribution of correct answers from this sample is given in the frequency table below. Correct Answer Frequency A 17...
Multiple Choice Strategy: Some students have suggested that if you have to guess on a multiple-choice...
Multiple Choice Strategy: Some students have suggested that if you have to guess on a multiple-choice question, you should always choose C. Carl, the student, wants to investigate this theory. He is able to get a sample of past tests and quizzes from various teachers. In this sample there are 90 multiple-choice questions with four options (A, B, C, D). The distribution of correct answers from this sample is given in the frequency table below. Correct Answer Frequency A 16...
On a certain statistics exam, there are 9 multiple choice questions. Each question has 5 possible...
On a certain statistics exam, there are 9 multiple choice questions. Each question has 5 possible answers to choose from (and only 1 correct answer). Suppose you didn’t study at all and are planning on guessing the correct answer for each question. Therefore, the probability of guessing a question correctly is ___________ . (Round to two decimals)   Let X = number of questions the student guesses correctly (Round all answers to four decimals) a)      What’s the probability you guess at...
Richard has just been given a 8-question multiple-choice quiz in his history class. Each question has...
Richard has just been given a 8-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all eight questions, find the indicated probabilities. (Round your answers to three decimal places.) (a) What is the probability that he will answer all questions correctly? (b) What is the probability that he will answer all questions...
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)? If appropriate, use the approximation of a binomial to solve this question.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT