49. The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a par- ticular airport kiosk. Small Medium Large 20% 26% Regular Decaf 14% 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 correspon- ding unconditional probability of (a)?

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49. The accompanying table gives information on the type of
coffee selected by someone purchasing a single cup at a par-
ticular airport kiosk.
Small
Medium
Large
20%
26%
Regular
Decaf
14%
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 correspon-
ding unconditional probability of (a)?
Transcribed Image Text:49. The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a par- ticular airport kiosk. Small Medium Large 20% 26% Regular Decaf 14% 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 correspon- ding unconditional probability of (a)?
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