Regular 24% 20% Decaf 20% 10% domly selecting such a is the probability that t

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 24% 20%
16%
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 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.
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 24% 20% 16% 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 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.
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