2. As part of a study, participants had to select from 5 different displays for
ID: 3044574 • Letter: 2
Question
2. As part of a study, participants had to select from 5 different displays for a showroom, and are told to select them so as to maximize purchases of display 2. Each of 124 college students selected three out of five of the displays for the showroom. The results are shown below. Display CombinationNumber of Students 1-2-3 1-2-4 1-2-5 2-3-4 2-3-5 2-4-5 35 42 34 Let A be the event that display 1 is one of the selected displays, B be the event that display 3 is one of the selected displays, and C be the event that display 4 is one of the selected displays. Find the following probabilities. a) P(AnB) b) P(Anc) c) P(Bnc) d) P(AUB) e) P(AUC) f) P(BUC) 8) PAUBUc) h) P(AnBnc)Explanation / Answer
a) P(A intersetion B) = P(1-2-3) =35/124
b)P(A intersection C) = 8/124
c)P( bintersection C )=P(2-3-4) = 4/124
d) P(AUB) = 1-P(2-4-5) = 1-34/124=90/124
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