Math 3C Hour Exam Winter 2010.pdf

# Rules on academic integrity make sure to show all of

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rules on academic Integrity. MAKE SURE TO SHOW ALL OF YOUR WORK!!! ~ i'J

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" '", I.E:> Ll.o\ 2.'-\ ~~~ Clb Sb ~b .,...~~~ 1?\ b 2.'5S "'.'(" Problem 2 (15 points) Probl"'" 3 (10 poieta) m"ll+rn omf '" \ Let X be 8 nmdom wrlable with cumulative distribution function (1':') ( ... \ At a CIIllliwl, there iJ a game where you chaw two cards at the .... ". lime from (. .' :>.1 a deck without replacemem. If you get a pair, you wie a large 8\uIfed ODimal. if 0 i(,,<-1 ? p""'" ') " ( '5'''') you get two cards of the ....... suit, then you win a sm&Il otuJl'ed animal. If you :z. do not get a pair DDr two cards D( the eame SUit, you do DOt wiD anythiDg. A •.. 11,1 if -1:5 " < 0 I ... \ :.) opoI1ed boy makes their pacentll pay for him to play ten tim ... ABSUme his playa F(,,) = 0.6 '1(0'1> " < 1 5 "'''' ~ " ') (.. of the g811le are ;"dependeet. What iJ the probabillly he willS 2 large otuJl'ed 1 ( 0.8 ifl:5" < 2 p S" ,+ .. --(~ onlnWa and 4 omallstuffed llDimals? You moy leave your BD .... r ;" terme of P, 0.9If2:5,,<3 2.) C, !t SUIDB, produeta l exponents. etc... 1 If 3:5" ll"lc> pCp""r)" p(l",r'Be pr,'ze) (.) (5 poiDto) Calculate the pr~abUity m ... (uDclioe for X. y. \ -\ 0 \ 2 3 ? (s",m!? S",i+') '" P (50 ..... 0,11 priZE') P('J<.:- \) "- • \ - 0 ... I P(y..: lot) lOSses . -'-I ",,; (~) (Ii) P(l'.=O')= .6-.\"'S p(r.o+k;n5)'" - Il~ • I , ( ~:t) ('5;) .15 p()<~ \J:.B ~.b:. 2 .----- .. _~--- ----- ._------ .. ~ .2 P(P2'): .9-.6:·\ ", P (2 \"ree priZ.eS, U 1 \$rT"o.\\ pl""i'2.es, \..\. \os;es) = P('I'.:3) = 1- .9:.1 ( I~)(:i) i . . I \ [('?)(~)l ~ C-: J (l r )l4 r_ ("''\( \3)jY \O~ , 'I .. I 1 ('5{) \ 2\ '-11."1 [ (S~) J L Co;)] L \ I L . __ (b) (10 poie...) Calculate EX ""d varIX). Your answer must he simplified to a .-J 7 -- number! 9=cI. E'l' - 1 ( .1') -I- 0 (. S) + I ( . 2') + 2. '(. I') + 2> (. I') -.\+D ..... 2+.2+.3 L~ \lor C .... ): (_1-."'')''-(.1') .... (6-.b') .. (.5) -I- (1-.bY'C.2)+(i.-.b')"(.I') + (3-.b')"-( .1: = (_ i. bi' (. i) + (- JoY (.S) -'r (.'-',')'" (.2') + ( \.
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