1. Questions

Stats

Richard has just been given a 4-question multiple-choice quiz in his history class. Each question has five 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 four 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 incorrectly?
.

(c) What is the probability that he will answer at least one of the questions correctly? Compute this probability two ways. First, use the rule for mutually exclusive events and the probabilities shown in the binomial probability distribution table.
.

Then use the fact that P(r ≥ 1) = 1 − P(r = 0).
.

Compare the two results. Should they be equal? Are they equal? If not, how do you account for the difference?
They should not be equal, but are equal. They should be equal, but may not be due to table error. They should be equal, but may differ slightly due to rounding error. They should be equal, but differ substantially.

(d) What is the probability that Richard will answer at least half the questions correctly?
.

  1. 👍
  2. 👎
  3. 👁
Collie

  1. a.) 0.0039
    b.)0.3164
    c.) 0.6836

    1. 👍
    2. 👎
    kiki

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    A multiple choice quiz contains five question. Each question has four answer choices. Michael is not prepared for the quiz and decides to guess for each question. What is the probability that Michael will get at least one question

  2. Civics

    Question 1 (Multiple Choice Worth 3 points) Which approach to foreign policy involves sending ambassadors to other countries? Isolation Diplomacy Intervention Imperialism Question 2 (Multiple Choice Worth 3 points) Which of the

  3. math

    Beth Dahlke is taking a ten question multiple choice test for which each question has three answer choice only one of which is correct. Beth decides on answers by rolling a fair die and making the first answer choice if the die

  4. Math

    The question on a multiple choice test each have 4 answer choices. Describe a model that you could use to simulate the outcome of guessing the correct answers to a 50 question test?

  1. business

    please help Which of the following is not a travel, hospitality, and tourism career? Chef Pilot Curator Truck Driver Question 3(Multiple Choice Worth 1 points) What is true about semi truck drivers? They often attend vocational

  2. i dont know how to solve this

    The chart below shows the highest quiz score Cynthia received in four of her classes. Class Highest Quiz Score English 13 out of 14 correct Science 93% Math 25/27 History 0.93- In which class did she have the highest score?

  3. Math

    A history quiz consists of 60 points and contains questions that ate either true/false or multiple-choice. If a true/false question is worth 3 points and a multiple-choice question is worth 8 points, and the quiz has at least one

  4. mathematics

    Mary will be taking a 20-question, multiple-choice exam with three choices for each question. She has another important project to be submitted on the same day. If Mary guesses on each question of the exam, find the probability of

  1. math

    On a multiple- choice test, the chance of randomly guessing the correct answer to a question is 25%. if you guess the answer to every question on a 20 question test, how many question should you expect to get correct?

  2. Pre-Algebra 8th grade

    I need help with my homework that is due tomorrow. Question 1 (Multiple Choice Worth 1 points) (01.01 MC) Which decimal number best describes the fraction fraction 137 over 6? *** A repeating decimal 22.83 with a bar over 3 A

  3. Math

    A multiple - choice quiz contains 5 questions with 4 choices for each answer. A student passes the quiz if they get at least an 80% on the quiz . If a student guesses on every question , find the probability that she passes the

  4. math

    A student takes a multiple choice quiz with 12 questions and 5 alternatives per question. Unfortunately, this student has no idea what any of the answers are, so he randomly selects an alternative for each question on the exam.

You can view more similar questions or ask a new question.