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 12% 16% 24% 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 decaf cup, given that they chose a small 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 greater than ✔✔✔ the unconditional probability of selecting a small size.

MATLAB: An Introduction with Applications
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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
16%
12%
Regular 12% 24%
Decaf 24%
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 decaf
cup, given that they chose a small
(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 greater than ✓
cup of coffee.
the unconditional probability of selecting a small size.
Transcribed Image Text: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 16% 12% Regular 12% 24% Decaf 24% 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 decaf cup, given that they chose a small (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 greater than ✓ cup of coffee. the unconditional probability of selecting a small size.
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