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% 20% 28% Decaf 20% 10% 10% 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--- v cup, given that they chose a --Select--- v 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--- v the unconditional probability of selecting a small size.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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
Regular 12%
20%
28%
Decaf
20%
10%
10%
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--- v 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-- v 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 12% 20% 28% Decaf 20% 10% 10% 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--- v 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-- v the unconditional probability of selecting a small size.
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