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 ........... 14% ............... 20% ................ 26%
Decaf ............ 20% ............... 10% ................10%
Consider randomly selecting such a coffee purchaser.
a. What is the probability that the individual purchased a small cup? A cup of decaf coffee?
b. If we learn that the selected individual purchased a small cup, what now is the probability that he/she chose decaf coffee, and how would you interpret this probability?
c. If we learn that the selected individual purchased decaf, what now is the probability that a small size was selected, and how does this compare to the corresponding unconditional probability of (a)?