The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk. Small Medium Large Regular 10% 24% 18% Decaf 24% 12% 12% Consider randomly selecting such a coffee purchaser. (a) What is the probability that the individual purchased a small cup? (Enter your answer to two decimal places.) What is the probability that the individual purchased a cup of decaf coffee? (Enter your answer to two decimal places.) (b) If we learn that the selected individual purchased a small cup, what now is the probability that he/she chose decaf coffee? (Round your answer to three decimal places.) How would you interpret this probability? This is the probability of people who choose a -Select- cup, given that they chose a -Select- cup of coffee. (c) If we learn that the selected individual purchased decaf, what now is the probability that a small size was selected? (Enter your answer to one decimal place.) How does this compare to the corresponding unconditional probability of (a)? This probability is --Select-- the unconditional probability of selecting a small size.