Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random answer generator to determine which of true or false would be the correct answer for each quiz question, but his internet is not working. Instead, he writes each possible answer combination on a small slip of paper, folds each paper in half, and then places them in a box. Without looking, he draws one of the slips of paper. Use what you know about counting methods and set operations to answer the following questions. 1. Let the possible quiz answer combinations represent Mr. Montes' sample space. How many outcomes are in the sample space? Explain your answer. 2. List the outcomes in the sample space. Let T = True and F = False. After grading the quizzes, Mr. Montes decides that his students could use some additional practice with the concepts tested. He writes a take-home assignment for his students. The assignment starts with two true or false questions and then has 3 multiple choice questions. The multiple choice questions each have 4 answer options, only 1 of which is correct. Luckily, Mr. Montes' internet is working when he writes the quiz and he is able to use a random answer generator. 3. Let the possible answer combinations represent Mr. Montes' sample space. How many outcomes are in the sample space? Explain your answer.
Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random answer generator to determine which of true or false would be the correct answer for each quiz question, but his internet is not working. Instead, he writes each possible answer combination on a small slip of paper, folds each paper in half, and then places them in a box. Without looking, he draws one of the slips of paper. Use what you know about counting methods and set operations to answer the following questions. 1. Let the possible quiz answer combinations represent Mr. Montes' sample space. How many outcomes are in the sample space? Explain your answer. 2. List the outcomes in the sample space. Let T = True and F = False. After grading the quizzes, Mr. Montes decides that his students could use some additional practice with the concepts tested. He writes a take-home assignment for his students. The assignment starts with two true or false questions and then has 3 multiple choice questions. The multiple choice questions each have 4 answer options, only 1 of which is correct. Luckily, Mr. Montes' internet is working when he writes the quiz and he is able to use a random answer generator. 3. Let the possible answer combinations represent Mr. Montes' sample space. How many outcomes are in the sample space? Explain your answer.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:4. List 5 outcomes that are in this sample space.
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5. Create a tree diagram to show the possible answer combinations of the first three questions on
the take-home assignment.
6. How many possible outcomes are shown on your tree diagram? Explain.
After grading the take-home assignments, Mr. Montes randomly selects 5 take-home
assignments to analyze. He considers the student's responses to the three multiple choice
questions, which are as shown.
Student 1:
Student 2:
Student 3:
Student 4:
Student 5:
{С, А, С}
{С, В, В}
{С, В, С}
{С, В, А}
{С, А, A}
7. The correct responses for the multiple choice questions are, in order, C, B, and A. If Set 1
represents the subset of these students who answered C for number 1, Set 2 represents the subset
of these students who answered B for number 2, and Set 3 represents the subset of students who
answered A for number 3, find each of the following. Explain what each notation means in
context of this scenario.
a. Set 1 n Set 2
b. Set 2 U Set 3
c. The complement of Set 1
8. Amisha was too tired to work on the take home assignment Mr. Montes gave her, so she
randomly selected answers without reading any of the questions. Suppose that you wanted to
find the odds that Amisha answered at least 3 of the 5 questions correctly. Do you think you
would use a permutation or a combination? Why?
Transcribed Image Text:Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had
planned on using a random answer generator to determine which of true or false would be the
correct answer for each quiz question, but his internet is not working. Instead, he writes each
possible answer combination on a small slip of paper, folds each paper in half, and then places
them in a box. Without looking, he draws one of the slips of paper.
Use what you know about counting methods and set operations to answer the following
questions.
1. Let the possible quiz answer combinations represent Mr. Montes' sample space. How
many outcomes are in the sample space? Explain your answer.
2. List the outcomes in the sample space. Let T = True and F = False.
After grading the quizzes, Mr. Montes decides that his students could use some additional
practice with the concepts tested. He writes a take-home assignment for his students. The
assignment starts with two true or false questions and then has 3 multiple choice questions. The
multiple choice questions each have 4 answer options, only 1 of which is correct. Luckily, Mr.
Montes' internet is working when he writes the quiz and he is able to use a random answer
generator.
3. Let the possible answer combinations represent Mr. Montes' sample space. How many
outcomes are in the sample space? Explain your answer.
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