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Unformatted text preview: {1.2}, and then we randomly pick a number from {2.3}, and we observe the sequence (first, second, third) of the three numhers that we chose. (a) Write an appropriate sample space for this experiment (a.,> a set consisting of appropriate ordcreo tripl('s). $:. [(~I/ ~ (H ~ {f z,~ (~~~4~ ~ (~f'l (" ~ :/6,~.!J. (J";; zt(~~Jj (~'7 zf t') ~ J (f/~~(~ pJ t'fS ~ ("~ fJJj [t::If~: 'f"JI' 9( ~o\Z .. 2:',4 e.~",."~f fit .y. (b) Write down the event E = "exactly two of the numbert; are the same" as a subset of the sample SPiice. US(' your set to decide what is P(E). the probability that E occurs. ~:: f(~I (~~ Jj (~~ "j (Z,I"Zj (~~ j t'~lf .(~ ~ ~ I~ ~li (~,,~ ,A~ ...!.!;./. ..... , ". (c) Write down the event F='the proouct of the three numbers is ::;trictly greater than 12" a.'> a subset of your sample space. Use your set to decide what is P(F). r:: [(} ~ J), (~"2; 2.) (f} ~ >j} /~):. ~...
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 Spring '08
 Moumen,F
 Probability

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