Math 3C Midterm Summer 2010.pdf

# In n anyolll who te9t illitiw ill hu1odlb1fllliyj i

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in ~'n. AnYOlll' who te9t.'\ Ill~itiw: ill HU1oDlB.1f·'lllIyj / I"-tJl15.-C, '~'N', ~~\!·t ,')f". ,.htt( .... ""·~ r- 1 '-41>t" _. ':i'!;J~)I'~''! W, trlC ''<:'·f i~ r>tA.~G)~ gJV'C'n ~e tr'etUlUl"nt. What i9 thr pnibebillty Iholt tin inclividu& will) i>; tmoo do~ 110 WI thl;' dv...lIJ'I(' but i~ t.relll.ro lUId hli., bUI ~kin tllrll ~? ,~_~) <~~ ::::', :; n lt J ) If A and B ~ t.WO.llub!etll of asarnple Sp8(,~, then P(AIB)? P~~hP,i l;;) .. <... '~k,~..; il\~'" 1) .~~. <:,:,';' ,. ;n.1c.. ,\''''' ::.,., .... ,p!t. +"",<,,; .~ {~h ..... ~~ .I ... _~·-'··-"i ~.,'''- 'IP "C'tI:-; ,:'-- ~~~1~ L~~~f)-~'( --'loX:' 1 , ..... ~.n. Ii;:-. 'p (" ~.B) 2' P (.II) t>{ .... "'Il.) •. _ COl" 10 .. ~'f"'r' 1"(113) 1:) If A Il.nd H lll'e mutually exrJulljn e"o'P.ntB, lbe~ peA U B) peA) + PCB). Ie p( -t 1'/01 P(1'D i "P(,", J '? 1"'<;, '{Fly;? ,r(A) ., PI. B} ,~ JISPii'.t d The fuderfll gtlV'ernOll"nt dct"'ides t~.~~ the ~~~! .. i.~ .. ~~~!~ for the diltl"Me IlIld ~'. IIdminister tbe tre8tment, Will prople be mono likely or If.'58 likply ttl get bright Rf'een MJ if , d) If A IUld D nrn mutually exclu&i~ then A kd Bare necl"fl8llrily indepelldent llLl(:h Il. polky is adopted? O[w an estiUl.tlte of Ute t'hange in likelihood of getting gI1!ftI n, :; (fWlIJlpJl"': people will bf" about 3 tjmos ~ likely, about 7 timellliess lilrely I"t.c.). ' Fr~l'i(,!.: Uln Q( (11.)-l,:)!~+ bUb nof. !r'\(l!.F<(I'.kl!1;-1 ~:qIM, P:"-",'h""'t:- !C:l d'~fl r::.'it- o'f ~J'""'1?l"pt"l'l '" t >") e) If P(AIB) = P(A) then P{AnO) = P(A)P(B). ave. P(A\l?>j"p(Ane.} (_l)( ",)1-'\ P(9) , 'b~ \'''' ICJ<> \ J "(l~j (~)(i) ,.~ II ~~J;l-t:o"lO ...
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