CEE3770_Sum09_PracticeTest1

CEE3770_Sum09_PracticeTest1 - CEE 3770 Summer 2009 Practice...

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CEE 3770 - Summer 2009 Practice Test 1 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. (18 points) Jake, Alan, Charlie, and Rose are taking CEE 3770. They go to the library once a week to do their homework. Assume that each student shows up at random and acts independently of each other. (a) As if she has nothing better to do, the instructor observes the students in the library for a week. What is the probability that she cannot find any of the students over the weekend? (b) What is the probability that she sees the students on all different days? i.e. all students visit the library on different days.
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