Cool Off a Survey of Southern California Houses in a Given

question 64

Essay

Cool Off A survey of southern California houses in a given town shows that 70% of the homes have an air conditioning system and 90% of home have at least one ceiling fan. 65% of all homes surveyed had both features.
a. What is the probability that a randomly selected home neither feature?
b. What is the probability that a randomly selected home has a ceiling fan, given that it already has an air conditioning system?
c. Do these two house features appear to be independent? Justify your answer.

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Definitions:

Shares Electrons

Refers to the covalent bonding between atoms, where electrons are shared between atoms to achieve a full outer shell and attain chemical stability.

Neutrons

Subatomic particles found within an atom's nucleus, possessing no electric charge and contributing to the atom's mass.

Protons

Protons are subatomic particles found in the nucleus of an atom with a positive electric charge.

Electrons

Subatomic particles with a negative charge, found in all atoms and playing a key role in chemical reactions and electricity.