Question

Question 2: You have a multiple-choice test (4 options for each question) in your AP English class. You have studied and feel well prepared. You estimate that you have an 80% chance of knowing the answer and thus getting it correct. On questions you do not know, you plan to guess. Use this information to answer questions a- e below.

a) Make a tree diagram to model this situation.

b) What is the probability you answer a question correctly?

c) What is the probability that if I get a question right it is because I knew it?

d) What is the probability I get it correct given I guessed?

e) What is the probability I guessed given I got it correct?

Answer #1

2. You are taking a 33 question multiple choice test, each
question with 4 choices. Assume that getting 23 questions or more,
correct, will result in a passing grade on the test. Complete parts
(a), (b), and (c).
(a) If you randomly guess on a single question, what is the
probability that you will get that question correct?
(b) If you randomly guess on all 33 questions, what is the
probability that you will pass?
(c) About what number of...

Suppose that you are taking a multiple choice test (consisting
of only 4-answer-choice questions) for which you have mastered 60%
of the material. When you actually take the test, if you know the
answer of a question, then you will answer it correctly for sure;
if you do not know the answer, however, you can still guess the
answer (meaning that you will have 25% chance of getting the
correct answer). Finally, assume that your answer to each question
is...

If an individual is taking a 20 question multiple choice test,
and they guess on each question, making the probability of getting
any one question correct is 25%.
What is the expected number of questions out of those 20 that an
individual gets correct, and what is the variance?
What is the probability of getting exactly 8 questions
correct?
What is the probability of getting at least one question correct
i.e.

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...

You are planning to guess on a multiple choice question
quiz. Each question has five options and you are just as likely to
guess any of them but only one option is correct. Your guess on a
question does not affect your guess on any other. What is the
probability that you will guess exactly 6 questions
correct?

You are planning to guess on a multiple-choice 10 question quiz.
Each question has five options and you are just as likely to guess
any of them. But only one option is correct. Your guess on a
question does not affect your guess on any other. What is the
probability that you will guess at least 6 questions correct?

Larry takes a multiple-choice test where for each question there
are five possible answers to choose from. If he guesses, he gets
the answer correct with probability 1/5. For any given question, he
knows the correct answer with probability 1/2. Given the
information that Larry got question one correct, what is the
probability he knew the correct answer to question one?

A
test has 5 multiple choice questions with 4 choices with one
correct answer each. if we randomly guess on each of the 5
questions, whatvis the probability that you get at least 1 question
correct?

On a Multiple Choice test, each question has six possible
answers. If you make a random guess on all 10 questions, what is
the probability that you are going to get 8 out of 10 correct?

Multiple Choice Test
Chris is sitting a multiple choice test in statistics. The test
consists of 9 items and each item has 5 options. After the test,
Chris told you he didn’t study for the test at all and guessed all
answers.
If Chris guessed each and every item in the test, describe the
probability distribution for the number of correct guesses. Present
the probability distribution in the form of a table using 6 decimal
points in your answers. (Use...

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