Math 166 Week in Review 2 Sections 1.1b, 1.2, 1.3, & 1.4

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1 Mt 166 WIR, Sprin 2012, Bnjmin urisp Mt 166 Wk in Rviw 2 Stions 1.1, 1.2, 1.3, & S t pproprit rions in Vnn irm tt orrspon to o t ollowin sts. () (B ) B () ( ) B B () (B ) B 1

2 Mt 166 WIR, Sprin 2012, Bnjmin urisp 2. In survy o 175 popl, it ws oun tt 86 orr pizz rom Pp Jon s in t pst mont, 96 not orr pizz rom Pizz Hut in t pst mont, n 138 orr pizz rom t lst on o t two. Fill in t Vnn irm low wit t orrt numr o popl in rion. PJ PH lult: () n(ph PJ) () n(ph PJ) () t numr o popl wo orr Pp Jons or i not orr Pizz Hut. 3. survy ws on o 250 popl out wtr ty v visit Europ, ri, or Sout mri. T ollowin inormtion ws oun. 45 popl v only n to Europ. 107 popl v n to Sout mri. 21 popl v n to Europ n Sout mri, ut not ri. 95 popl v n to xtly 1 o ts tr ontinnts. n( E S ) = popl v n to ri or Sout mri, ut not Europ. 66 popl v n to Europ n ri. E S () How mny popl v n to Europ or Sout mri? () How mny popl v n to xtly 2 o t tr? 2

3 Mt 166 WIR, Sprin 2012, Bnjmin urisp 4. survy o oll stunts ws on out wt kin o ms (Monopoly, onnt Four, & Guss Wo) ty ply rowin up. T rsults r ivn low. 75 stunts ply Monopoly ut not Guss Wo. n((m ) ) = stunts ply only Guss Wo or only Monopoly. 96 stunts i not ply Monopoly. n(m G ) = stunts ply t lst two o ts tr ms. 107 stunts ply Guss Wo or onnt Four, ut not ot o tm. 21 stunts ply non o ts ms. M G () How mny stunts ply Monopoly n t lst on o t otr two ms? () lult n((g ) ) n sri in wors wt it rprsnts. () lult n(g ) n sri in wors wt it rprsnts. 5. Writ smpl sps or t ollowin xprimnts. () r is rwn t rnom rom stnr k o rs n t suit o t r is ror. () Two ir 5-si i r roll n t sum o t numrs roll is ror. () oin is toss, notin t si tt lns up. I t oin lns s, it is toss on mor. Otrwis t xprimnt ns. 3

4 Mt 166 WIR, Sprin 2012, Bnjmin urisp 6. n xprimnt onsists o rnomly sltin r rom stnr k n notin t olor o t r. I lk r is osn, oin is toss notin t si tt lns up. I r r is osn, ir 6-si i is roll osrvin t numr roll. () Wt is t smpl sp S or tis xprimnt. () Wt is t vnt E tt lk r is osn? () Wt is t vnt F tt n vn numr is roll? () r E n F mutully xlusiv? 7. n xprimnt onsists o tossin oin n osrvin t si tt lns up n tn rnomly sltin mrl rom jr ill wit 3 r, 3 lu, n 3 rn mrls n notin t olor. () Wt is t smpl sp or tis xprimnt? () Dtrmin t vnt E tt r mrl is rwn. () Dtrmin t vnt F tt til is toss or rn mrl is rwn. () r E n F mutully xlusiv vnts? () ssumin tis is uniorm smpl sp (it is), lult P(F). 4

5 Mt 166 WIR, Sprin 2012, Bnjmin urisp 8. r is rwn rom stnr k o rs. lult t proility o t ollowin vnts. () lk r is rwn. () r 3 is rwn. () Kin is not rwn. 9. Two ir 4-si i (on r, on lu) r roll n t numrs sown r osrv. () Wt is t smpl sp or tis xprimnt? () Writ t vnt E tt 3 is roll. () Wt is t proility tt t sum o t i is mor tn 5. () Fin t proility istriution or t PRODUT o t numrs roll on t i. 5

6 Mt 166 WIR, Sprin 2012, Bnjmin urisp 10. o Skittls ontins 13 yllow, 11 rn, 9 orn, 6 r, n 5 purpl. I r in n pull out on Skittl. (ssum Skittl is qully likly to osn.) () Fin t proility istriution or t olor o t Skittl pull. () lult t proility tt I will t rn or n orn. () lult t proility tt I will not t purpl. 11. rtin usinss ount t numr o -mils snt y its mploys on ivn y. T rsults r ivn in t tl low. Numr o E-mils Mor tn 40 Numr o Employs () Wt is t mpiril proility tt n mploy wo works or tis ompny will sn mor tn 30 mils on ivn y? () Wt is t mpiril proility tt n mploy wo works or tis ompny will sn t most 40 mils on ivn y? () Fin t mpiril proility istriution or t numr o mils snt y n mploy o tis ompny. 6

Grade 7/8 Math Circles March 4/5, Graph Theory I- Solutions

Grade 7/8 Math Circles March 4/5, Graph Theory I- Solutions ulty o Mtmtis Wtrloo, Ontrio N ntr or ution in Mtmtis n omputin r / Mt irls Mr /, 0 rp Tory - Solutions * inits lln qustion. Tr t ollowin wlks on t rp low. or on, stt wtr it is pt? ow o you know? () n