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CEE3770_Sum09_Test1_Solns - CEE 3770 Summer 2009 Test 1...

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CEE 3770 - Summer 2009 Test 1 Solutions June 4, 2009 (12:00 p.m. - 1:45 p.m.) Do not read any page other than this instruction sheet before the official start time. Be sure to write your name on EVERY page! Please use the space provided to answer your questions. Use the back of each page if you need extra room. Do not attach any extra sheets. Exam is closed book. You are not allowed to use notes or textbooks. You are allowed to use a calculator, but you may not share it with anyone else. Please refer to the last page for the standard normal distribution table. 1
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Name: 1. (14 points) Jake, Alan, and Charlie went to Starbucks to grab some coffee after finishing their CEE3770 homework assignments. Starbucks has six different coffee beverages in the menu. Assume that they make their choices at random and act independently of each other. (a) What is the probability that all three students choose different coffee beverages? Solution: This is almost same as Birthday problem. 6 coffee drinks have equal probabilities that a student will choose. Pr ( 3 students choose all different drinks) = 6 · 5 · 4 6 3 = 0 . 556 (a) Suppose that all grabbed different coffee drinks. Later, Rose joined them at Starbucks. What is the probability that Rose picked a different coffee beverage from the other students?
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