60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service, 55% have a sprinkler system. For those without a lawn service, 30% have a sprinkler system. (Note: you do NOT need to simplify these answers. However, you MUST express each in terms of the events/probability notation – e.g., P(A|B) =...) a. Draw a tree diagram to model the problem b. What is the probability that a randomly selected home has a sprinkler system? c. What is the probability that a randomly selected home with a sprinkler system has a lawn service?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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4. 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes
with a lawn service, 55% have a sprinkler system. For those without a lawn service,
30% have a sprinkler system. (Note: you do NOT need to simplify these answers.
However, you MUST express each in terms of the events/probability notation - e.g.,
P(A|B) =..)
a. Draw a tree diagram to model the problem
b. What is the probability that a randomly selected home has a sprinkler
system?
c. What is the probability that a randomly selected home with a sprinkler
system has a lawn service?
d. What is the probability that a randomly selected home with a lawn service
has a sprinkler system?
e. What is the probability that a randomly selected home has a lawn service?
f. What is the probability that a randomly selected home that does not have
a lawn service has a sprinkler system?
Transcribed Image Text:4. 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service, 55% have a sprinkler system. For those without a lawn service, 30% have a sprinkler system. (Note: you do NOT need to simplify these answers. However, you MUST express each in terms of the events/probability notation - e.g., P(A|B) =..) a. Draw a tree diagram to model the problem b. What is the probability that a randomly selected home has a sprinkler system? c. What is the probability that a randomly selected home with a sprinkler system has a lawn service? d. What is the probability that a randomly selected home with a lawn service has a sprinkler system? e. What is the probability that a randomly selected home has a lawn service? f. What is the probability that a randomly selected home that does not have a lawn service has a sprinkler system?
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