(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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
20%
24%
10%
10%
Regular 16%
Decaf 20%
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 20% 24% 10% 10% Regular 16% Decaf 20% 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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