OPEN MATH REVIEW FOR EXAM 1
QUESTIONS WITH CORRECT ANSWERS
2.2 wwRoulette wwwheel: wwThe wwgame wwof wwroulette wwinvolves wwspinning wwa wwwheel
wwwith ww38 wwslots: ww18 wwred, ww18 wwblack, wwand ww2 wwgreen. wwA wwball wwis wwspun
wwonto wwthe wwwheel wwand wwwill wweventually wwland wwin wwa wwslot, wwwhere wweach
wwslot wwhas wwan wwequal wwchance wwof wwcapturing wwthe wwball.
a) wwYou wwwatch wwa wwroulette wwwheel wwspin ww4 wwconsecutive wwtimes wwand wwthe
wwball wwlands wwon wwa wwred wwslot wweach wwtime. wwWhat wwis wwthe wwprobability wwthat
wwthe wwball wwwill wwland wwon wwa wwred wwslot wwon wwthe wwnext wwspin? ww(please
wwround wwto wwfour wwdecimal wwplaces)
b) wwYou wwwatch wwa wwroulette wwwheel wwspin ww210 wwconsecutive wwtimes wwand wwthe
wwball wwlands wwon wwa wwred wwslot wweach wwtime. wwWhat wwis wwthe wwprobability wwthat
wwthe wwball wwwill wwland wwon wwa wwred wwslot wwon wwthe wwnext wwspin? ww(please
wwround wwto wwfour wwdecimal wwplaces) ww- wwAnswer wwa) ww18(red)/38(total wwslots) ww=
ww.4737
b) ww18(red)/38(total wwslots) ww= ww.4737
2.5 wwCoin wwFlips: wwIf wwyou wwflip wwa wwfair wwcoin ww8 wwtimes, wwwhat wwis wwthe
wwprobability wwof wweach wwof wwthe wwfollowing?(please wwround wwall wwanswers wwto ww4
wwdecimal wwplaces)
a) wwgetting wwall wwtails?
b) wwgetting wwall wwheads?
c) wwgetting wwat wwleast wwone wwtails? ww- wwAnswer wwa) ww(1/2)(tails)^8(flips) ww=
ww0.0039
b)(1/2)(heads)^8(flips) ww= ww0.0039
c) ww1 ww- ww(1/2)^8 ww= ww0.9960
2.6 wwDice wwRolls: wwIf wwyou wwroll wwa wwpair wwof wwfair wwdice, wwwhat wwis wwthe
wwprobability wwof wweach wwof wwthe wwfollowing? ww(round wwall wwanswers wwto ww4
wwdecimal wwplaces)
a) wwgetting wwa wwsum wwof ww1?
,b) wwgetting wwa wwsum wwof ww5?
c) wwgetting wwa wwsum wwof ww12? ww- wwAnswer wwa) ww0.0000
minimum ww= ww2
b) ww4(combinations)/36(6^2) ww= ww0.1111
c) ww1(combinations)/36(6^2) ww= ww0.0278
2.9 wwDisjoint wwvs. wwindependent: wwIn wwparts ww(a) wwand ww(b), wwidentify wwwhether
wwthe wwevents wware wwdisjoint, wwindependent, wwor wwneither ww(events wwcannot wwbe
wwboth wwdisjoint wwand wwindependent).
a) wwYou wwand wwa wwrandomly wwselected wwstudent wwfrom wwyour wwclass wwboth wwearn
wwA's wwin wwthis wwcourse.
b) wwYou wwand wwyour wwclass wwpartner wwboth wwearn wwA's wwin wwthis wwcourse.
c) wwIf wwtwo wwevents wwcan wwoccur wwat wwthe wwsame wwtime, wwthey wwmust wwbe
wwindependent. ww- wwAnswer wwa) wwindependent
b) wwneither
c) wwfalse
2.10 wwGuessing wwon wwan wwexam: wwIn wwa wwmultiple wwchoice wwexam, wwthere wware
ww6 wwquestions wwand ww4 wwchoices wwfor wweach wwquestion ww(a, wwb, wwc, wwd).
wwNancy wwhas wwnot wwstudied wwfor wwthe wwexam wwat wwall wwand wwdecides wwto
wwrandomly wwguess wwthe wwanswers. wwWhat wwis wwthe wwprobability wwthat:(please
wwround wwall wwanswers wwto wwfour wwdecimal wwplaces)
a) wwthe wwfirst wwquestion wwshe wwgets wwright wwis wwquestion wwnumber ww5?
b) wwshe wwgets wwall wwof wwthe wwquestions wwright?
c) wwshe wwgets wwat wwleast wwone wwquestion wwright? ww- wwAnswer wwa) ww(3/4)^4*(1/4)
ww= ww.0791
b) ww(1/4)^6 ww= ww.0002
c) ww1-(3/4)^6 ww= ww.8220
2.17 wwGlobal wwwarming: wwA wwresearch wwpoll wwasked ww1499 wwAmericans ww"From
wwwhat wwyou've wwread wwand wwheard, wwis wwthere wwsolid wwevidence wwthat wwthe
wwaverage wwtemperature wwon wwearth wwhas wwbeen wwgetting wwwarmer wwover wwthe
, wwpast wwfew wwdecades, wwor wwnot?". wwThe wwtable wwbelow wwshows wwthe
wwdistribution wwof wwresponses wwby wwparty wwand wwideology, wwwhere wwthe wwcounts
wwhave wwbeen wwreplaced wwwith wwrelative wwfrequencies.
wwEW wwNW wwDK wwTotal
CR ww0.06 ww0.17 ww0.02 ww0.25
M/L wwR ww0.12 ww0.04 ww0.03 ww0.19
M/C wwD ww0.13 ww0.03 ww0.02 ww0.18
LD ww0.30 ww0.00 ww0.08 ww0.38
Total ww0.61 ww0.24 ww0.15 ww1
a) wwAre wwbelieving wwthat wwthe wwearth wwis wwwarming wwand wwbeing wwa wwliberal
wwDemocrat wwmutually wwexclusive?
b) wwWhat wwis wwthe wwprobability wwthat wwa wwrandomly wwchosen wwrespondent
wwbelieves wwthe wwearth wwis wwwarming wwor wwis wwa wwliberal wwDemocrat?
c) wwWhat wwis wwthe wwprobability wwthat wwa wwrandomly wwchosen wwrespondent
wwbelieves wwthe wwearth wwis wwwarming wwgiven wwthat wwthey wware wwa wwliberal
wwDemocrat?
d) wwWhat wwis wwthe wwprobability wwthat wwa wwrandomly wwchosen wwrespondent
wwbelieves wwthe wwearth wwis wwwarming wwgive ww- wwAnswer wwa) wwnot wwmutually
wwexclusive
b) ww(.61+.38-.30) ww= ww.6900
EW+LD-(LD wwand wwEW)
c) ww(.30/.38) ww= ww.7895
(LD wwand wwEW)/LD
d) ww(.06/.25) ww= ww.2400
(CR wwand wwEW)/CR
e) wwbelief wwin wwglobal wwwarming wwand wwparty wwideology wware wwdependent ww
f) ww(.04/.24) ww= ww.1667
(MLR wwand wwNW)/(NW)
2.20 wwAssortative wwmating: wwAssortative wwmating wwis wwa wwnonrandom wwmating
wwpattern wwwhere wwindividuals wwwith wwsimilar wwgenotypes wwand/or wwphenotypes
wwmate wwwith wwone wwanother wwmore wwfrequently wwthan wwwhat wwwould wwbe
wwexpected wwunder wwa wwrandom wwmating wwpattern. wwResearchers wwstudying wwthis
wwtopic wwcollected wwdata wwon wweye wwcolors wwof ww215 wwScandinavian wwmen wwand
wwtheir wwfemale wwpartners. wwThe wwtable wwbelow wwsummarizes wwthe wwresults ww(rows
wwrepresent wwmale wweye wwcolor wwwhile wwcolumns wwrepresent wwfemale wweye
QUESTIONS WITH CORRECT ANSWERS
2.2 wwRoulette wwwheel: wwThe wwgame wwof wwroulette wwinvolves wwspinning wwa wwwheel
wwwith ww38 wwslots: ww18 wwred, ww18 wwblack, wwand ww2 wwgreen. wwA wwball wwis wwspun
wwonto wwthe wwwheel wwand wwwill wweventually wwland wwin wwa wwslot, wwwhere wweach
wwslot wwhas wwan wwequal wwchance wwof wwcapturing wwthe wwball.
a) wwYou wwwatch wwa wwroulette wwwheel wwspin ww4 wwconsecutive wwtimes wwand wwthe
wwball wwlands wwon wwa wwred wwslot wweach wwtime. wwWhat wwis wwthe wwprobability wwthat
wwthe wwball wwwill wwland wwon wwa wwred wwslot wwon wwthe wwnext wwspin? ww(please
wwround wwto wwfour wwdecimal wwplaces)
b) wwYou wwwatch wwa wwroulette wwwheel wwspin ww210 wwconsecutive wwtimes wwand wwthe
wwball wwlands wwon wwa wwred wwslot wweach wwtime. wwWhat wwis wwthe wwprobability wwthat
wwthe wwball wwwill wwland wwon wwa wwred wwslot wwon wwthe wwnext wwspin? ww(please
wwround wwto wwfour wwdecimal wwplaces) ww- wwAnswer wwa) ww18(red)/38(total wwslots) ww=
ww.4737
b) ww18(red)/38(total wwslots) ww= ww.4737
2.5 wwCoin wwFlips: wwIf wwyou wwflip wwa wwfair wwcoin ww8 wwtimes, wwwhat wwis wwthe
wwprobability wwof wweach wwof wwthe wwfollowing?(please wwround wwall wwanswers wwto ww4
wwdecimal wwplaces)
a) wwgetting wwall wwtails?
b) wwgetting wwall wwheads?
c) wwgetting wwat wwleast wwone wwtails? ww- wwAnswer wwa) ww(1/2)(tails)^8(flips) ww=
ww0.0039
b)(1/2)(heads)^8(flips) ww= ww0.0039
c) ww1 ww- ww(1/2)^8 ww= ww0.9960
2.6 wwDice wwRolls: wwIf wwyou wwroll wwa wwpair wwof wwfair wwdice, wwwhat wwis wwthe
wwprobability wwof wweach wwof wwthe wwfollowing? ww(round wwall wwanswers wwto ww4
wwdecimal wwplaces)
a) wwgetting wwa wwsum wwof ww1?
,b) wwgetting wwa wwsum wwof ww5?
c) wwgetting wwa wwsum wwof ww12? ww- wwAnswer wwa) ww0.0000
minimum ww= ww2
b) ww4(combinations)/36(6^2) ww= ww0.1111
c) ww1(combinations)/36(6^2) ww= ww0.0278
2.9 wwDisjoint wwvs. wwindependent: wwIn wwparts ww(a) wwand ww(b), wwidentify wwwhether
wwthe wwevents wware wwdisjoint, wwindependent, wwor wwneither ww(events wwcannot wwbe
wwboth wwdisjoint wwand wwindependent).
a) wwYou wwand wwa wwrandomly wwselected wwstudent wwfrom wwyour wwclass wwboth wwearn
wwA's wwin wwthis wwcourse.
b) wwYou wwand wwyour wwclass wwpartner wwboth wwearn wwA's wwin wwthis wwcourse.
c) wwIf wwtwo wwevents wwcan wwoccur wwat wwthe wwsame wwtime, wwthey wwmust wwbe
wwindependent. ww- wwAnswer wwa) wwindependent
b) wwneither
c) wwfalse
2.10 wwGuessing wwon wwan wwexam: wwIn wwa wwmultiple wwchoice wwexam, wwthere wware
ww6 wwquestions wwand ww4 wwchoices wwfor wweach wwquestion ww(a, wwb, wwc, wwd).
wwNancy wwhas wwnot wwstudied wwfor wwthe wwexam wwat wwall wwand wwdecides wwto
wwrandomly wwguess wwthe wwanswers. wwWhat wwis wwthe wwprobability wwthat:(please
wwround wwall wwanswers wwto wwfour wwdecimal wwplaces)
a) wwthe wwfirst wwquestion wwshe wwgets wwright wwis wwquestion wwnumber ww5?
b) wwshe wwgets wwall wwof wwthe wwquestions wwright?
c) wwshe wwgets wwat wwleast wwone wwquestion wwright? ww- wwAnswer wwa) ww(3/4)^4*(1/4)
ww= ww.0791
b) ww(1/4)^6 ww= ww.0002
c) ww1-(3/4)^6 ww= ww.8220
2.17 wwGlobal wwwarming: wwA wwresearch wwpoll wwasked ww1499 wwAmericans ww"From
wwwhat wwyou've wwread wwand wwheard, wwis wwthere wwsolid wwevidence wwthat wwthe
wwaverage wwtemperature wwon wwearth wwhas wwbeen wwgetting wwwarmer wwover wwthe
, wwpast wwfew wwdecades, wwor wwnot?". wwThe wwtable wwbelow wwshows wwthe
wwdistribution wwof wwresponses wwby wwparty wwand wwideology, wwwhere wwthe wwcounts
wwhave wwbeen wwreplaced wwwith wwrelative wwfrequencies.
wwEW wwNW wwDK wwTotal
CR ww0.06 ww0.17 ww0.02 ww0.25
M/L wwR ww0.12 ww0.04 ww0.03 ww0.19
M/C wwD ww0.13 ww0.03 ww0.02 ww0.18
LD ww0.30 ww0.00 ww0.08 ww0.38
Total ww0.61 ww0.24 ww0.15 ww1
a) wwAre wwbelieving wwthat wwthe wwearth wwis wwwarming wwand wwbeing wwa wwliberal
wwDemocrat wwmutually wwexclusive?
b) wwWhat wwis wwthe wwprobability wwthat wwa wwrandomly wwchosen wwrespondent
wwbelieves wwthe wwearth wwis wwwarming wwor wwis wwa wwliberal wwDemocrat?
c) wwWhat wwis wwthe wwprobability wwthat wwa wwrandomly wwchosen wwrespondent
wwbelieves wwthe wwearth wwis wwwarming wwgiven wwthat wwthey wware wwa wwliberal
wwDemocrat?
d) wwWhat wwis wwthe wwprobability wwthat wwa wwrandomly wwchosen wwrespondent
wwbelieves wwthe wwearth wwis wwwarming wwgive ww- wwAnswer wwa) wwnot wwmutually
wwexclusive
b) ww(.61+.38-.30) ww= ww.6900
EW+LD-(LD wwand wwEW)
c) ww(.30/.38) ww= ww.7895
(LD wwand wwEW)/LD
d) ww(.06/.25) ww= ww.2400
(CR wwand wwEW)/CR
e) wwbelief wwin wwglobal wwwarming wwand wwparty wwideology wware wwdependent ww
f) ww(.04/.24) ww= ww.1667
(MLR wwand wwNW)/(NW)
2.20 wwAssortative wwmating: wwAssortative wwmating wwis wwa wwnonrandom wwmating
wwpattern wwwhere wwindividuals wwwith wwsimilar wwgenotypes wwand/or wwphenotypes
wwmate wwwith wwone wwanother wwmore wwfrequently wwthan wwwhat wwwould wwbe
wwexpected wwunder wwa wwrandom wwmating wwpattern. wwResearchers wwstudying wwthis
wwtopic wwcollected wwdata wwon wweye wwcolors wwof ww215 wwScandinavian wwmen wwand
wwtheir wwfemale wwpartners. wwThe wwtable wwbelow wwsummarizes wwthe wwresults ww(rows
wwrepresent wwmale wweye wwcolor wwwhile wwcolumns wwrepresent wwfemale wweye
