A quiz consists of 10 true or false questions. To pass the quiz a student must answer at least eight questions correctly. If the student guesses on each question, what is the probability that the student will pass the quiz? 0.20 0.08 0.8 0.055

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 77E
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%

Statistics

Provide an appropriate response.
A quiz consists of 10 true or false questions. To pass the quiz a student must answer at least eight
questions correctly. If the student guesses on each question, what is the probability that the
student will pass the quiz?
0.20
0.08
0.8
0.055
Provide an appropriate response.
Transcribed Image Text:Provide an appropriate response. A quiz consists of 10 true or false questions. To pass the quiz a student must answer at least eight questions correctly. If the student guesses on each question, what is the probability that the student will pass the quiz? 0.20 0.08 0.8 0.055 Provide an appropriate response.
Expert Solution
Step 1

Given that a quiz consists of 10 true of false questions.  

Student guesses on each question.

So, probability that students guess each question correctly is 0.5

Let , X be the number of questions student guesses correctly. 

X follows Binomial distribution with n = 10 and p = 0.5

 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning