Question

An admission test is given by a university contains 10 true-false questions. Eight or more of the questions must be answered correctly in order to be admitted.

a. How many different ways can the answer sheet be filled out?

b. How many different ways can the answer sheet be filled out so that 8 or more questions are answered correctly?

Answer #1

A test contains 10 true-false questions. To pass the test, there
must be eight (8) or more correct answers.
1) In how many (different) ways can the test be filled out ?
2) In how many different ways can the test be filled out so that
at least eight (8) answers or more are correct ?

How many:
ways can an exam consisting of 10 true and false questions be
answered?
ways can an exam consisting of 5 true and false questions
followed by 2 multiple choice questions with four choices each be
answered?
4-digit numbers are there?
New York license plates can be made that consist of 3 letters
followed by 4 numbers?
New York license plates can be made that consist of 3 letters
followed by 4 numbers given the restriction that if the...

A test consists of 10 true and false questions. To pass the
test, a student must answer at least eight questions correctly. If
the student guesses each question, what is the probability (to four
decimal places) that the student passes the test? :.
What is the mean and standard deviation of the number of
correct answers? (results to two decimal places)
Media:
Standard deviation:

A student takes a true-false test that has 8 questions and
guesses randomly at each answer. Let X be the number of questions
answered correctly. Find P(6 or more)
0.0352
0.6367
0.3633
0.1445

A student is asked to answer seven of ten questions on a test.
How many different ways can a selection of questions occur if:
a) there are no restrictions?
b) if there are five questions that must be answered? (5
questions must be done so you have to do 2 of the last 5)

A test consists of 10 true and false questions. To pass the
test, a student must answer at least seven questions correctly. If
the student guesses each question, what is the probability (to four
decimal places) that the student passes the test? : Answer.
What is the mean and standard deviation of the number of
correct answers? (results to two decimal places)
Media: Answer

Suppose Jon is taking a test with 5 true-false questions and 5
multiple questions with 4 choices each. He knows nothing so he
willl answer randomly
a) find the expected number of true-false questions he will
answer correctly?
b) Find the probability that Jon answers exactly 7 questions
correctly?

A test consists of 5 true/false questions. To pass the test a
student must answer at least 4 questions correctly. If a student
guesses on each question, what is the probability that the student
will pass the test?

Zoe is taking a test with 100 questions. There are 30 True/False
questions and 70 multiply-choices questions (4 choices per
question). Suppose that she blindly guesses all the questions and
the results of the different questions are independent. Approximate
the probability that
(a) she answers at least 40 questions correctly.
(b) she gets more correct answers on True/False questions than
she does on multiplychoices questions.

At a university all students must take a test to see if they
understand campus polices. The test has 6 multiple choice
questions, each with three possible answers and only one right
answer per question. This year every student got at least two
questions right. How many possible ways could the students have
answered the test questions?
The incoming class this year has 541 students. Prove that at
least two students answered the test in the exact same way.

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