Question

For each question on a multiple-choice test, there are five possible answers, of which exactly one is correct. If a student selects answers at random, give the probability that the first question answered correctly is question 4.

Answer #1

TOPIC:Geometric distribution.

A student is taking a multiple-choice quiz in which each
question has five possible answers, exactly one of which is
correct. He knows 85% of the material being tested. Assume the
teacher has chosen the questions independently and at random from
among all the questions she could have chosen.
When the student knows the correct answer to a given question,
he has a 98% chance of marking it correctly. When he does not know
the answer, he answers by marking...

A test consists of 10 multiple choice questions, each with five
possible answers, one of which is correct. To pass the test a
student must get 60% or better on the test. If a student randomly
guesses, what is the probability that the student will pass the
test? Please show work

MC1701: A test consists of 10 multiple choice questions, each
with five possible answers, one of which is correct. To pass, a
student must get at least 6 correct on the test. If a student
randomly guesses at every question, what is the probability that
the student fails the test?
a.
2.6%
b.
20%
c.
80%
d.
97.4%
e.
99.4%
f.
None of these

a 5 question multiple choice test has 4 possible answers to each
question. A student selects at least 3 correct answers.
A. 0.0010
B. 0.0146
C. 0.1035
D. 0.0879

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?

On
a multiple-choice test with nine questions, each question has for
possible answers, one of which is correct. For students who gets it
all answers, find the variance for the number of correct
answers.

A test consists of 30 multiple choice questions, each with five
possible answers, only one of which is correct.
Find the mean and the standard deviation of the number of
correct answers.

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.

To screen prospective employees, a company gives a 10-question
multiple-choice test. Each question has 4 possible answers, of
which 1 is correct. The probability of answering a question
correctly by guessing is 0.25. Round each final answer to 4 decimal
places (but intermediate values should have more decimal places).
Find the probability of answering, by chance:
(a) Exactly 3 questions correctly.
(b) No questions correctly.
(c) At least 8 questions correctly.
(d) No more than 7 questions correctly.

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?

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