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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 104E
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PQ5. C. is either "greater than", "less than", or "equal to" B. is either "decaf" or "small"

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.
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 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.
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