Castaway Cruise lines mails a promotional advertisement to 10,000 potential customers, 6500 males and 3500 females. Of the mailing, 80% of the males and 40% of the females have cruised on Castaway before. A customer who has received the promotion calls and books a cruise.
a. What is the probability the customer sailed with Castaway before?
b. If the customer has never cruised with Castaway, what is the probability she is female?
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