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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
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