I'm confused by how to start this probability problem 43. A ten question multiple-choice test with...

Question

Question

43. A ten question multiple-choice test with five possible answers for each questo If the student guesses on each question, f

I'm confused by how to start this probability problem

Answer 1

Answer #1

Binomial distribution can be used to solve this question, because the number of correct answers follows a binomial distribution.

P(X) = nCx p^x q^n-x

Number of questions, n = 10

P(correct answer), p = 1/5 = 0.2

q = 1 - 0.2 = 0.8

P(getting at least seven questions correctly), P(X = 7) = P(X = 8) + P(X = 9) + P(X = 10)

= 10C7x0.2⁷x0.8³ + 10C8x0.2⁸x0.8² + 10C9x0.2⁹x0.8 + 0.2¹⁰

= 0.000864

Answer 2

Similar Homework Help Questions

A student failed to study for a multiple choice test. The test consists of ten questions...

A student failed to study for a multiple choice test. The test consists of ten questions with five choices for each answer. What is the probability that the student answers all questions incorrectly? What is the probability that the student will achieve at least 50% correct?
A student guesses on every question of a multiple-choice test that has 8 questions, each with...

A student guesses on every question of a multiple-choice test that has 8 questions, each with 4 possible answers. What is the probability that the student will get at least 6 of the questions right?
A student guesses on every question of a multiple-choice test that has 9 questions, each with...

A student guesses on every question of a multiple-choice test that has 9 questions, each with 3 possible answers. What is the probability that the student will get at least 7 of the questions right?

A student takes a multiple choice test consisting of 5 questions where there are 4 choices...

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.
5) A student takes a multiple choice test with 12 questions, Each question has 4 possible...

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
Question 7 (4 points) A student takes a multiple choice test consisting of 5 questions where...

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 student answers all 48 questions on a multiple-choice test by guessing. Each question has four...

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 20 question multiple choice test with 5 possible answers on each question is given to...

A 20 question multiple choice test with 5 possible answers on each question is given to a class and the instructor has promised that any student who gets more than half of the questions correct will pass the test. A student who has not attended the class nor read any of the assignments is hoping to pass the test purely on the basis of guesswork. What is the probability that the student will pass? (Hint: The probability that a guess...
A test consists of 25 multiple choice questions. Each question has 5 possible answers, or which...

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 10 question multiple choice test has 4 possible answer for each question

a 10 question multiple choice test has 4 possible answer for each question. A student selects at least 6 correct answers.Find probability of this event:(multiple choice)A) .118B) .995C) .068D) .571