A recent study found that 30% of the travelling public said that their flight selections are influenced by perceptions of airline safety. Thirty-nine percent of the travelling public want to know the age of the aircraft. Suppose 87% of the travelling public who say that their flight selections are influenced by perceptions of airline safety want to know the age of the aircraft.
a. What is the probability of randomly selecting a member of the travelling public and finding out that she says that flight selection is influenced by perceptions of airline safety and she does not want to know the age of the aircraft?
b. What is the probability of randomly selecting a member of the travelling public and finding out that he says that flight selection is not influenced by perceptions of airline safety and he does not want to know the age of the aircraft?
c. What is the probability of randomly selecting a member of the travelling public and finding out that she says that flight selection is not influenced by perceptions of airline safety but she wants to know the age of the aircraft?