Suppose that a survey of adults that asked, "Do you enjoy shopping for clothing for yourself?" indicated that 70% of the females enjoyed shopping for clothing for themselves as compared to51% of the males.Further suppose that 70% of the surveyed adults were females. (Round all answers to 4 decimal places)

A). What is theprobability that the surveyed adult is a female and indicated sheenjoyed shopping for clothing for themselves?

A-1). What is theprobability that if the surveyed adult said they enjoyed shopping for clothing for themselves, the surveyed adult is a female?

A-2). What is theprobability that if the surveyed adult theydid notenjoy shopping for clothing for themselves, the surveyed adult is a male?

A-3). What is theprobability that a surveyed adult is either a female or enjoyed shopping for clothing for themselves?

A-4). Are the two events independent?