AMS 311 (Fall, 2010)Joe MitchellPROBABILITY THEORYHomework Set # 1Due at the beginning of class on Thursday, September 16, 2010Reminder: Show your reasoning!Read: Ross, sections 1.1-1.4 of Chapter 1, and sections 2.1-2.5 of Chapter 2 .SPECIFICS OF READING ASSIGNMENT:Examples to read carefully:Chapter 1: 2a–2e; 3a–3f; 4a–4eChapter 2: 3a, 3b, 4a, 5a–5j, 5l(1).(18 points) There are 6 people at the security check at JFK, each with a laptop. Unfortunately, allthe laptops look identical. They put them through the machine and each person grabs a laptop at randomon the other side, not noticing that they may not have grabbed their own. (a). Describe the sample spacecorresponding to this experiment. (Make certain to define the notation you use to specify the outcomes!)(b). Find the probability that each person gets her/his own laptop. (c). Find the probability that Joe (oneof the 6 travelers) gets his own laptop.(2).(20 points) Suppose thatAandBare mutually exclusive events for whichP(A) = 0.35 andP(B) = 0.51.
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Probability theory, mutually exclusive events, Joe Mitchell