Tomorrow, Sharon is going to sit for her mathematics test. The test paper consists 10 multiple choice questions with four possible answers A, B, C, and D for each question. Due to lack of practice, she is going to try her luck by guessing the correct answer for each question. Sharon needs to pass the test by getting at least five answers that are correct, but she is expecting correctly guessed five answers to pass the exam. a. Determine whether the possible answers A, B, C, and D are equally likely. b. Determine the total number of equally likely outcomes for all the questions. c. Define the event of interest for Sharon. d. Determine the number of outcomes with the event of interest for Sharon. e. Compute the classical probability using Equation 1.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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Tomorrow, Sharon is going to sit for her mathematics
test. The test paper consists 10 multiple choice
questions with four possible answers A, B, C, and D
for each question. Due to lack of practice, she is
going to try her luck by guessing the correct answer
for each question. Sharon needs to pass the test by
getting at least five answers that are correct, but she
is expecting correctly guessed five answers to pass
the exam.
a. Determine whether the possible answers A, B, C,
and D are equally likely.
b. Determine the total number of equally likely
outcomes for all the questions.
c. Define the event of interest for Sharon.
d. Determine the number of outcomes with the event
of interest for Sharon.
e. Compute the classical probability using
Equation 1.

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Step 1: Given Information
The mathematics test paper consists of 10 multiple choice questions.
Sharon is going to attempt a test by guessing the correct answer. She will pass the test by getting at least five correct answers. 
And, she is expecting five correct answers to pass the exam.



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