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Similar with Exercise 10.

)/RD[0.5 0.5 0.5 0.5]/Rect[72.1969 447.772 193.206 460.772]/Subj(Typewritten Text)/Subtype/FreeText/T(cagut)/Type/Annot>> endobj 138 0 obj <>/BS 139 0 R/Contents(P\(not blue\) = 1 - P\(blue\) = 1 - 4/12 = 2/3.)/CreationDate(D:20100222141952-06'00')/DA(11 TL /Cour 8 Tf)/DS(font: Cour 8.0pt;font-stretch:Normal; text-align:left; color:#000000 )/F 4/IT/FreeTextTypewriter/M(D:20100222142029-06'00')/NM(4ef72ded-d7f2-4394-a8ee-aeabaff97a67)/P 25 0 R/RC(

P\(not blue\) = 1 - P\(blue\) = 1 - 4/12 = 2/3.

)/RD[0.5 0.5 0.5 0.5]/Rect[67.125 252.223 274.532 265.223]/Subj(Typewritten Text)/Subtype/FreeText/T(cagut)/Type/Annot>> endobj 139 0 obj <> endobj 140 0 obj <>/ProcSet[/PDF/Text]>>/Subtype/Form/Type/XObject>>stream H= 1 :kpQ .N)k{x$ C$OP(S~zud &쐥J:T] {h@Vĺ;/s20M9'V|ɩQ,,5ߑړ'r;6v`E endstream endobj 141 0 obj <> endobj 142 0 obj <> endobj 143 0 obj <>/ProcSet[/PDF/Text]>>/Subtype/Form/Type/XObject>>stream q 1 0 0 1 0 0 cm 72.6969 448.2719 120.009 12 re W n 0 g BT /Cour 8 Tf 0 g 72.697 455.04 Td (Similar ) Tj 38.399 0 Td (with ) Tj 24 0 Td (Exercise ) Tj 43.199 0 Td (10.) Tj ET Q endstream endobj 144 0 obj [145 0 R 146 0 R 147 0 R] endobj 145 0 obj <>/BS 152 0 R/Contents(Getting an ace and getting a 9 are mutually exclusive, so that P\(A and 9\) = 0.\rP\(A or 9\) = P\(A\) + P\(9\)= 4/52 + 4/52 = 8/52 = 2/13.)/CreationDate(D:20100222141617-06'00')/DA(11 TL /Cour 8 Tf)/DS(font: Cour 8.0pt;font-stretch:Normal; text-align:left; color:#000000 )/F 4/IT/FreeTextTypewriter/M(D:20100222141748-06'00')/NM(1e1c6c7b-2237-4d8f-83ad-8e5d48d5ad13)/P 22 0 R/RC(

Getting an ace and getting a 9 are mutually exclusive, so that P\(A and 9\) = 0.

P\(A or 9\) = P\(A\) + P\(9\)= 4/52 + 4/52 = 8/52 = 2/13.

)/RD[0.5 0.5 0.5 0.5]/Rect[72.7605 651.109 452.965 683.935]/Subj(Typewritten Text)/Subtype/FreeText/T(cagut)/Type/Annot>> endobj 146 0 obj <>/BS 150 0 R/Contents(R = regular smoker\rHS = heavy smoker\rP\(R or HS\) = P\(R\) + P\(HS\) - P\(R and HS\) = 145/1119 + 77/1119 - 0 = 222/1119 = 0.198.\rR and HS are mutually exclusive. )/CreationDate(D:20100222141748-06'00')/DA(11 TL /Cour 8 Tf)/DS(font: Cour 8.0pt;font-stretch:Normal; text-align:left; color:#000000 )/F 4/IT/FreeTextTypewriter/M(D:20100222141941-06'00')/NM(66825b22-5fb9-4e29-931c-d7658dcc98cb)/P 22 0 R/RC(

R = regular smoker

HS = heavy smoker

P\(R or HS\) = P\(R\) + P\(HS\) - P\(R and HS\) = 145/1119 + 77/1119 - 0 = 222/1119 = 0.198.

R and HS are mutually exclusive. \

)/RD[0.5 0.5 0.5 0.5]/Rect[69.3792 314.012 473.583 379.622]/Subj(Typewritten Text)/Subtype/FreeText/T(cagut)/Type/Annot>> endobj 147 0 obj <>/BS 148 0 R/CreationDate(D:20100222141853-06'00')/DA(11 TL /Cour 8 Tf)/DS(font: Courier 8.0pt; text-align:left; color:#000000 )/F 4/IT/FreeTextTypewriter/M(D:20100222141854-06'00')/NM(450f85e7-b023-4ee9-80f6-6791850da951)/P 22 0 R/RD[0.5 0.5 0.5 0.5]/Rect[343.261 332.246 358.661 345.246]/Subj(Typewritten Text)/Subtype/FreeText/T(cagut)/Type/Annot>> endobj 148 0 obj <> endobj 149 0 obj <>/Subtype/Form/Type/XObject>>stream q 1 0 0 1 0 0 cm 343.7607 332.7457 14.4 12 re W n 0 g Q endstream endobj 150 0 obj <> endobj 151 0 obj <>/ProcSet[/PDF/Text]>>/Subtype/Form/Type/XObject>>stream H;O0w ׏X@HFbaZSI#\Ri!)9ǟ|'Lhe XPN8$,zBDhv۴k\tJ8hxėxG \ ή۪tApcL*"t|tO)_mi&zY{ aHN|CM8B)ˎWa/l8(7^ӂ30A|P*5ىsRٟ.cl$KIa߸ >cdInڲ#X{Y۷$wz@? endstream endobj 152 0 obj <> endobj 153 0 obj <>/ProcSet[/PDF/Text]>>/Subtype/Form/Type/XObject>>stream H?O0w{`XA&J&=nH~ݽ;a@rK2\Q J2TTKA`Βg Irh_G26ʴŃuS 1nξR4*-xjVm1oO ߠlco;CQ_0~[+_еk[O ||DAN3N"C<)zjSX2߰ ǃ~ԆsyR9N&\.&si'vұW 8>/BS 159 0 R/Contents(C = someone who carpools\rFT = someone who works full time.\rP\(C or FT\) = P\(C\) + P\(FT\) - P\(C and FT\) = 15/100 + 51/100 - 7/100 = 59/100 = 0.59.\r\(We found 51 full-time workers adding up the corresponding numbers per categories; 7 of them are also\ carpooling\))/CreationDate(D:20100222141146-06'00')/DA(11 TL /Cour 8 Tf)/DS(font: Cour 8.0pt;font-stretch:Normal; text-align:left; color:#000000 )/F 4/IT/FreeTextTypewriter/M(D:20100222141441-06'00')/NM(dc711ccd-29b5-4d9a-8b58-6705e359b63b)/P 19 0 R/RC(

C = someone who carpools

FT = someone who works full time. \

P\(C or FT\) = P\(C\) + P\(FT\) - P\(C and FT\) = 15/100 + 51/100 - 7/100 = 59/100 = 0.59.

\(We found 51\ full-time workers adding up the corresponding numbers per categories; 7 of them are also carpooling\)

)/RD[0.5 0.5 0.5 0.5]/Rect[74.4511 379.654 560.254 456.264]/Subj(Typewritten Text)/Subtype/FreeText/T(cagut)/Type/Annot>> endobj 156 0 obj <>/BS 157 0 R/Contents(P\(3 or 5\) = P\(3\) + P\(5\) - P\(3 and 5\) = 1/6 + 1/6 - 0 = 2/6 = 1/3.\rP\(3 and 5\) = 0 because the events \(getting a 3" and the event "getting a 5" are mutually exclusive.)/CreationDate(D:20100222141441-06'00')/DA(11 TL /Cour 8 Tf)/DS(font: Cour 8.0pt;font-stretch:Normal; text-align:left; color:#000000 )/F 4/IT/FreeTextTypewriter/M(D:20100222141617-06'00')/NM(44a261aa-7faf-4d7a-acb8-f28a7039ff5d)/P 19 0 R/RC(

P\(3 or 5\) = P\(3\) + P\(5\) - P\(3 and 5\) = 1/6 + 1/6 - 0 = 2/6 = 1/3.

P\(3 and 5\) = 0 because the events \(getting a 3" and the event "getting a 5" are mutually exclusive.

)/RD[0.5 0.5 0.5 0.5]/Rect[64.3073 231.457 540.51 264.659]/Subj(Typewritten Text)/Subtype/FreeText/T(cagut)/Type/Annot>> endobj 157 0 obj <> endobj 158 0 obj <>/ProcSet[/PDF/Text]>>/Subtype/Form/Type/XObject>>stream HOO0=i vJhkB װlFmEZL $:'c$1X*Jq*)24AEr-d-C!W/Lk?W[b*rP-y%&ؖ-7A+ F(׋Z4Nz؋9|l<7 " jY i˚Nw[^W]C-dzA7}blr Z6=$Z1B]~\%{o}E]zMOg9y"? Ϩ endstream endobj 159 0 obj <> endobj 160 0 obj <>/ProcSet[/PDF/Text]>>/Subtype/Form/Type/XObject>>stream HTAo +8nYP@4.kvSqXӿ?,mq%KӼ}<bm C)'#),a( b w95L`V{2`- (6t t i*(Ia\JU-D"F#cx3w!?NJfe_Ut:j/BNw*PWm3C&7j\oa9% M1g/nq/fSy< 6/WHK`R\;8d&Rb+Lt̞əԝOL^f7 Vi-V5L,&ǴVP-?ʝ=KvXmULj.W4y`: endstream endobj 161 0 obj [162 0 R] endobj 162 0 obj <>/BS 163 0 R/Contents(M = the person is a man;\rHS = the person selected is a heavy smoker.\rWe need to find:\rP\(M or HS\) = P\(M\)+P\(HS\)-P\(M and HS\).\rFrom the table we find 1073 people in total; 583 men; 76 heavy smokers and also we can find\r37 who are men and heavy sm\ okers on the same time.\rSo, P\(M or HS\) = 583/1073 + 76/1073 - 37/1073 = 622/1073 = 0.58.)/CreationDate(D:20100222140809-06'00')/DA(11 TL /Cour 8 Tf)/DS(font: Cour 8.0pt;font-stretch:Normal; text-align:left; color:#000000 )/F 4/IT/FreeTextTypewriter/M(D:20100222141146-06'00')/NM(73885043-d5bc-4ad8-a623-785f65362dff)/P 16 0 R/RC(

M = the person is a man;

HS = the person selected is a heavy smoker.&#\ 13;

We need to find:

P\(M or HS\) = P\(M\)+P\(HS\)-P\(M and HS\).

From the table we find 1073 people in total; 583 men; 76 heavy smokers and also we can find

37 who are men and heavy smokers \ on the same time.

So, P\(M or HS\) = 583/1073 + 76/1073 - 37/1073 = 622/1073 = 0.58.

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