Homework 3

# Homework 3 - {1.2 and then we randomly pick a number...

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September 9, 2010 Math 351 - Homework 3 Due in class on Thursday. In each of these problems show exactly what it is you are calculating and then complete the calculation using a calculator. It's ok to answer each question in the space provided. The work you turn in must be your work, not done in consultation with anyone else in the class. 1. We have a group consisting of 10 Americans, 11 Canadians, and 12 Mexicans. In how many ways can we form a committee of seven people snch that the committee has at least two from each of the countries. V.t ~.~ ~ ~q/~ I'~ .(0 . . "Ve, c..., If "0 II""" "J' fd~ ) ,II'; ~ c ~ .-., "a. "Y'J .r ~!'l) cT.",." ~ ~~ :I' " """" ~ --'~ ~~f !1'- ?19 'J 2 C 'J tt" 1/ . ~ /f J. I'X"./ "1' ~ ... ". ·et , , I' ~,., (,/A/~ .t ~ ) f · lo~ .. t= (S~ "(f7'tr~rtcr~/'(~(~7 "'l~""IIIII!ii!!!!!I!IiI'" -..,. .~~~"-;-.-. ....- 2. III au expprimellt, we randomly pick a 11ll nber from {I, 2, 3, 4}, tliPll we randomly pick a llUIllber from
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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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