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EAS 30S: Appliled Probability and Statistics Inference 2018 Spring Semester MIDT

ID: 3051086 • Letter: E

Question

EAS 30S: Appliled Probability and Statistics Inference 2018 Spring Semester MIDTERM1 PLEASE RETURN THIS coffee selected by (30 points) The accompanying table gives information on the type of someone purchasing a single cup at a particular airport kiosk. 2. Regular Decaf Small 14% 20% Medium 20% 10% (a) What is the probability that the individual purchased a small cup? A cup of decaf coffee? (b) If we learn that the selected individual purchase a small cup, what now is the probability that he/she chose decaf coffee? What is the probability that he/she chose regular coffee?

Explanation / Answer

Ans

1.

Probablity of small coffee is 34%

Probablity of Decaf coffee is 40%

2.

Probablity of Decaf given it is small = 20/34 = 0.589

Probablity of regular given its small = 14/34 = 0.411