Question

For this question, you need at least 6 decimal places.

An exact answer (fractions) is recommended on both parts,
especially the first part since it will be used for the second
question.

Baumgartner, Prosser, and Crowell are grading 19

calculus exams on which there is a series of 5 multiple choice questions. Each question has 3

answer choices.

Crowell says, "I bet we should expect at least three exams in
which no answer is correct if everyone is just guessing."

First, what is the probability that a student gets no answer
correct on the 5

multiple choice questions if he or she guesses randomly with no
bias?

What is the probability that there are at least three exams with no
answer correct if all 19 students are guessing?

Hint: use your answer from part (a) as the probability of success
here. Your trials are the exams (students) now, and we want at
least three successes.

You may need to leave your answer as a sum of powers of
fractions

**!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE SHOW YOUR WORK.
DO NOT JUST PUT AN ANSWER WITH OUT REASONING. i NEED TO BE ABLE TO
REPLICATE AND VERIFY YOUR ANSWER. QUESTION SAYS LEAVE IT IN SUM OF
POWERS OF FRACTION!!!!!!!!!!!!!!!!!!!!!!!!!!**

Answer #1

For this question, you need at least 6 decimal places.
An exact answer (fractions) is recommended on both parts,
especially the first part since it will be used for the second
question.
Baumgartner, Prosser, and Crowell are grading 19
calculus exams on which there is a series of 5 multiple choice
questions. Each question has 3
answer choices.
Crowell says, "I bet we should expect at least three exams in
which no answer is correct if everyone is just guessing."...

16. Blind Guessing: Suppose that, on a 10-question quiz, you
need to get at least 7 correct to pass. Suppose also that, because
you have not studied any of the material, you can only blindly
guess the answers. Please answer the following questions: If all
ten questions are true/false, what is the probability of correctly
guessing 7 or more? If all ten questions are multiple choice, each
having four answers, what is the probability of correctly guessing
7 or more?

A
test contains 6 multiple-choice questions . Each question has one
correct answer to choose from 3 options. If you answer all 6
questions by guessing randomly , find the probability of getting at
least one question wrong.

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...

A multiple-choice test consists of 10 questions. Each question
has answer choices of a, b, c,
d, and e, and only one of the choices is correct.
If a student randomly guesses on each question, what is the
probability that he gets at most 1 of them correct?
Carry your intermediate computations to at least four decimal
places, and round your answer to at least two decimal places.

Richard has just been given a 10-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 ten questions, find the indicated probabilities. (Round your
answers to three decimal places.)
What is the probability that Richard will answer at least half
the questions correctly?

A student has just been given a 10-question multiple-choice
quiz. Each question has five answers, of which only one is correct.
The student has not attended class recently, and doesn't know any
of the answers. Assume that guesses are made on all ten questions,
find the indicated probability. (Round your answer to three decimal
places.) What is the probability that the student will answer all
questions incorrectly?

A student takes a 40-question multiple-choice exam but did not
study and randomly guesses each answer. Each question has three
possible choices for the answer. Find the probability that the
student guesses more than 75% of the questions correctly. (Round
your answer to three decimal places.)

Richard has been given a 5-question multiple-choice quiz in his
history class. Each question has three answers, of which only one
is correct. Since Richard has not attended the class recently, he
doesn't know any of the answers. Assuming that Richard guesses on
all 5 questions, find the probability that he will answer at least
4 questions correctly. Round your answer to the nearest
thousandth.

A multiple choice test consisting of 10 questions. each question
has four choices. a,b,c, and d tell how you would find the
probability of guessing at least one correct answer, without the
use of binomial probability formula. what rule would your use to
simplify your solution?

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