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asked 2021-10-01

Suppose that you are taking a multiple-choice exam with five questions, each have five choices, and one of them is correct. Because you have no more time left, you cannot read the question and you decide to select your choices at random for each question. Assuming this is a binomial experiment, calculate the binomial probability of obtaining exactly one correct answer.

asked 2021-12-17

Beth is taking an eleven-question multiple-choice test for which each question has three answer choices, only one of which is correct. Beth decides on answers by rolling a fair die and marking the first answer choice if the die shows 1 or 2, the second if the die shows 3 or 4, and the third if the die shows 5 or 6. Find the probability of the stated event.

exactly

four

correct answers

exactly

four

correct answers

asked 2021-10-19

On a multiple-choice exam with 3 possible answers for each of the 5 questions, what is the probability that a student will get 4 or more correct answers just by guessing?

asked 2021-11-13

A class is taking a multiple choice test with 10 questions where each question has four possible answers. Assume that the answer to any question is independent of that to any other answer. Robert has forgotten to study for this test, so he simply guesses for each question.

What is the probability that Robert guesses exactly 8 of the questions correctly? (Round to four decimal places.)

What is the probability that Robert gets an \(\displaystyle{80}\%\) or better? Another way of saying this is, what is the probability that he guesses 8 or more questions correctly? This would be the probability of 8 plus the probability of 9 plus the probability of 10. (Round to four decimal places.)

What is the probability that Robert guesses exactly 8 of the questions correctly? (Round to four decimal places.)

What is the probability that Robert gets an \(\displaystyle{80}\%\) or better? Another way of saying this is, what is the probability that he guesses 8 or more questions correctly? This would be the probability of 8 plus the probability of 9 plus the probability of 10. (Round to four decimal places.)

asked 2021-09-20

You took a test with 40 multiple choice questions. Each question had 5 choices. What is the probability that you get at least 28 questions correct if you guessed in all of them.

asked 2021-10-01

Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are \(\displaystyle{n}={8}\) trials, each with probability of success (correct) given by \(\displaystyle{p}={0.20}\). Find the indicated probability for the number of correct answers.

Find the probability that the number x of correct answers is fewer than 3.

Find the probability that the number x of correct answers is fewer than 3.

asked 2021-12-19

Edward has to take a five question multiple-choice quiz and his socialolgy class. each question asked four choices for answers of which only one is correct. assuming that edwards guesses on all five questions. what is the probability that he will answer a) all five questions correctly b) exactly 2 questions correctly c) at least two questions correctly