Reference no: EM133118048
Question - Real estate ads suggest that 57% of homes for sale have garages, 16% have swimming pools, and 14% have both features. Complete parts a through d below.
Part 1 - a) What is the probability that a home for sale has a garage but not a pool?
Part 2 - b) If a home for sale has a garage, what is the probability that it has a pool, too?
Part 3 - c) Are having a garage and having a pool independent events? Explain.
A. The two events can be considered independent because a home for sale could have a garage, or a pool, or both a garage and a pool.
B. The two events can be considered independent because the probability of having a garage and the probability of having a garage given that the home has a pool are roughly the same.
C. The two events cannot be considered independent because the probability of having a garage and the probability of having a garage given that the home has a pool are significantly different.
D. There is not enough information to determine if the two events are independent.
Part 4 - d) Are having a garage and having a pool mutually exclusive? Explain.
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