Question 9: There are three roofing companies that service a small community. Al's Roof Repair gets 45% of the roofing jobs in the community while Bob's Better Building and Carl's Roof Service get 25% and 30% of the business, respectively. Of Al's customers, 70% are satisfied. Of Bob's customers, 95% are satisfied. Among Carl's customers, 90% are satisfied. Round all answers to four decimal places. a) Create a tree diagram b) If a randomly selected customer is satisfied, what is the probability that they used Carl's Roof Service?
Question 9: There are three roofing companies that service a small community. Al's Roof Repair gets 45% of the roofing jobs in the community while Bob's Better Building and Carl's Roof Service get 25% and 30% of the business, respectively. Of Al's customers, 70% are satisfied. Of Bob's customers, 95% are satisfied. Among Carl's customers, 90% are satisfied. Round all answers to four decimal places. a) Create a tree diagram b) If a randomly selected customer is satisfied, what is the probability that they used Carl's Roof Service?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
Related questions
Question
Transcribed Image Text:Question 9:
There are three roofing companies that service a small community. Al's Roof Repair gets 45% of
the roofing jobs in the community while Bob's Better Building and Carl's Roof Service get 25%
and 30% of the business, respectively. Of Al's customers, 70% are satisfied. Of Bob's customers,
95% are satisfied. Among Carl's customers, 90% are satisfied. Round all answers to four decimal
places.
a) Create a tree diagram
b) If a randomly selected customer is satisfied, what is the probability that they used Carl's
Roof Service?
Expert Solution
Step 1
Given ,
Al's Roof Repair gets 45% of the roofing jobs.
i.e. P(Al's) = 0.45
Bob's Better Building gets 25% of the roofing jobs
i.e. P( Bob's ) = 0.25
Carl's roof service get 30% of the roofing jobs.
P( Carl's ) = 0.3
The 70% of Al's customers are satisfied.
i.e. P( Satisfied | Al's ) = 0.7
The 95% of Bob's customers are satisfied.
P( Satisfied | Bob's ) = 0.95
The 90% of Carl's customers are satisfied.
P( Satisfied | Carl's ) = 0.90
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning