Pilar, a real estate developer, collected data on 300 residential properties, recording whether each home had 4+ bedrooms or 1 - 3 bedrooms. Pilar also recorded whether each property was on a large lot (defined as at least 20,000 sq. feet) or a small lot (fewer than 20,000 sq. feet). The probabilities are reflected in the partially-completed tree diagram:
# Bedrooms
Lot Size
Large
B
4+ BR
A
0.44
Small
Large
0.37
0.41
1-3 BR
C
Sonall
Q
a. The values labelled A, B and C represent the probabilities of their respective branches of the tree diagram. What are these values?
A =
B =
C=
b. Given that a randomly selected home has four or more bedrooms, what is the probability that the home is on a large lot?
c. What is the probability of randomly selecting a home that has 1 - 3 bedrooms and is on a small lot?
d. What is the probability of randomly selecting a home that is on a large lot?