Question

A quiz consists of 12 multiple-choice questions. Each question has 5 possible answers, only one of...

A quiz consists of 12 multiple-choice questions. Each question has 5 possible answers, only one of which is correct. Klein plans to guess the answer to each question. Find the probability that Klein gets exactly 7 correct answers. *
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

As each question has 5 choices and only one of them is correct, so probability of getting the correct answer for a given question is - p = 1/5.

Let 'X' be the random variable representing the number of multiple-choice questions Klein gets correct. As each question can be guessed correctly independent of others with equal probability of 'p = 1/5 = 0.2' so the distribution of 'X' will be binomial with parameter n = 12 and p = 0.2 given as -

Thus, for n = 12, r = 7 and p = 0.2 we get -

Probability of getting exactly 7 correct answers is -

Thus, the required probability = 0.0033.

_____________________________________

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A quiz consists of 100 multiple choice questions. Each question has 4 possible answers (A-D) and...
A quiz consists of 100 multiple choice questions. Each question has 4 possible answers (A-D) and only one answer is correct. If the student guesses the answer to the questions, then what is the probability earn a grade of 70% or higher? Show how to on Ti-84 Calculator
a multiple choice quiz in six sigma green belt 11 consists of 10 questions each of...
a multiple choice quiz in six sigma green belt 11 consists of 10 questions each of which has five possible answers of which only one is correct. a student passes the quiz if six or more correct answer obtained. what is the probability of passing the quiz if on each question, a student can eliminate three incorrect answers and then guess between the remaining two.
A quick quiz consists of a multiple-choice question with 6 possible answers followed by a multiple-choice...
A quick quiz consists of a multiple-choice question with 6 possible answers followed by a multiple-choice question with 5 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.
A quiz consists of 15 multiple-choice questions. Each question has 5 choices, with exactly one correct...
A quiz consists of 15 multiple-choice questions. Each question has 5 choices, with exactly one correct choice. A student, totally unprepared for the quiz, guesses on each of the 15 questions. a. How many questions should the student expect to answer correctly? b. What is the standard deviation of the number of questions answered correctly? c. If at least 7 questions must be answered correctly to pass the quiz, what is the chance the student passes?
a) A student has just been given a 7-question multiple-choice quiz in their anatomy class. Each...
a) A student has just been given a 7-question multiple-choice quiz in their anatomy class. Each question has five answers, of which only one is correct. Since this student has not attended any classes recently, they do not know any of the answers and must guess on all 7 questions. What is the probability they will get at least one question correct? a. 0.7903 b. 0.8154 c. 0.3670 d. 0.1429 b) A student has just been given a 7-question multiple-choice...
A quiz for a Psychology class consists of 5 questions. The questions are multiple-choice with 4...
A quiz for a Psychology class consists of 5 questions. The questions are multiple-choice with 4 possible answers each, with only one correct answer. A student randomly guesses on all 5 questions. create a probability distribution for the number of correct answers what is the probability that the student will pass with a 60% or better what is the probability that the student will answer less than 4 correct
A pop quiz consists of three true–false questions and one multiple choice questions. Each multiple choice...
A pop quiz consists of three true–false questions and one multiple choice questions. Each multiple choice question has seven possible answers. If a student blindly guesses the answer to every question, what is the probability that the student will correctly answer all four questions? (Round your answer to 3 decimal places.) PROBABILITY: ?
. A quiz has 25 multiple choice questions. Each question has 3 possible answers, one of...
. A quiz has 25 multiple choice questions. Each question has 3 possible answers, one of which is correct. A correct answer is worth 4 points (a ticket with the value of 4), but a point is taken off for each incorrect answer (a ticket with the value of -1). A student answers all 25 questions by guessing at random. a) Present the problem with an appropriate box model. Find the expected value and the standard error for the sum...
A quick quiz consists of 5 multiple choice problems, each of which has 6 answers, only...
A quick quiz consists of 5 multiple choice problems, each of which has 6 answers, only one of which is correct. If you make random guesses on all 5 problems, (a) What is the probability that all 5 of your answers are incorrect? (b) What is the probability that all 5 of your answers are correct?
Round to 4 decimals please A quiz has 12 multiple choice questions. Each question has 4...
Round to 4 decimals please 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.. Question 1 Find the probability the student gets between 1 and 6, exclusive, questions correct? Question 2 Find the probability the student gets more than 8 questions correct?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT