1. Question # 2

2. SailormoonandthesailorscoutsMercury,Jupiter,VenusandMars.Goes toattackTroubleridingonthedinosaur,whenattackingMercuryattacks 15%,Jupiterattacks17%,Venusattacks20%,Marsattacks25%andSailor moonattacks23%ofthetime.OftheattacksmadeMercurymisses32%, Jupiterhits75%,Venusmisses15%,Marshits90%,Sailormoonmisses0% ofthetime.Createtreediagram. (A)whatisthesamplespace? (B)IfthemonsterwashitwhatistheprobabilitythatitwasbyMercury? 3. TreeDiagramPercentchanceofthem Mercuryattacking,indecimals.150. 0.17Jupiter 0.20 Venus0.25Mars0.2 3 SailorMoon 4. Percentchanceofthem TreeDiagram hitormiss,indecimals.0.68HitPercentchanceofthemMercuryattacking,indecimals.0.325Miss 10. 0.75 Hit 0.1 7Jupiter0.25 Miss 0.85 Hit0.20 Venus0.15Miss0.250.90Hit Mars0.10Miss0.231.00 Hit SailorMoon 0.00 Miss 5. (A)whatisthesamplespace? Firstofallwhatissamplespace?Samplespaceisalistofpossibleoutcomes. 6. (A)whatisthesamplespace? Firstofallwhatissamplespace?Samplespaceisalistofpossibleoutcomes. That'soneoutcome:Mercuryhit0.68Hit Mercury0.32150. Miss0.75Hit 0.1 7Jupiter0.25 Miss 0.85Hit 0.20Venus0.1 5 Miss 0.25 0.90Hit Mars0.10Miss 0.231.00Hit SailorMoon 0.00Miss 7. (A)whatisthesamplespace? Firstofallwhatissamplespace?Samplespaceisalistofpossibleoutcomes. That'soneoutcome:Mercuryhit 0.68 HitMercury0.32150. Miss 0.75 Hit7Jupiter Samplespace:{Mercuryhit,Mercurymiss,0.1 0.25Miss Jupiterhit,Jupitermiss,Venushit,Venusmiss, Marshit,Marsmiss,Sailormoonhit,Sailor 0.85 Hit 0.20 Venus0.1 moonmiss} 5 Miss 0.250.90HitMars0.10 Miss 0. 231.00 HitSailorMoon0.00Miss 8. (B)IfthemonsterwashitwhatistheprobabilitythatitwasbyMercury? TheprobabilitythatitwasMercurygiventhatitwashit. P(Mercury|hit)=P(Mercuryhit)P(hit) 9. (B)IfthemonsterwashitwhatistheprobabilitythatitwasbyMercury? TheprobabilitythatitwasMercurygiventhatitwashit.P(Mercury|hit)=P(Mercuryhit) P(hit) WewanttofindtheprobabilitythatMercuryhitandalltheotherhits.0.68 HitMercury0.3215Miss 0.0.75 Hit0.17Jupiter0.25Miss0.85 Hit0.20Venus0.1 5 Miss 0.25 0.90HitMars0.10 Miss0.23 1.00 Hit SailorMoon0.00Miss 10. (B)IfthemonsterwashitwhatistheprobabilitythatitwasbyMercury? TheprobabilitythatitwasMercurygiventhatitwashit. P(Mercury|hit)=P(Mercuryhit)P(hit) WewanttofindtheprobabilityWemultiplebecausewethatMercuryhitandallthe wantapersonandahit.otherhits.0.68 Hit 0.15x0.68=0.102Mercury0.3215Miss 0.0.75 Hit 0.17x0.75=0.12750.17Jupiter0.25Miss 0.20 0.85 Hit0.20x0.85=0.17Venus0.1 5 Miss 0.25 0.90Hit 0.25x0.90=0.225Mars0.10 Miss0.23 1.00Hit0.23x1.00=.23 SailorMoon0.00 Miss 11. (B)IfthemonsterwashitwhatistheprobabilitythatitwasbyMercury? TheprobabilitythatitwasMercurygiventhatitwashit. P(Mercury|hit)=P(Mercuryhit)P(hit) WewanttofindtheprobabilityWemultiplebecausewethatMercuryhitandallthe wantapersonandahit.otherhits.0.68 Hit 0.15x0.68=0.102Mercury0.32 P(Mercury|hit)=P(Mercuryhit)15Miss 0. P(hit)0.75 Hit 0.17x0.75=0.12750.17Jupiter0.25Miss 0.20 0.85 Hit0.20x0.85=0.17Venus0.1 5 Miss 0.25 0.90Hit 0.25x0.90=0.225Mars0.10 Miss0.23 1.00Hit0.23x1.00=.23 SailorMoon0.00 Miss 12. (B)IfthemonsterwashitwhatistheprobabilitythatitwasbyMercury? TheprobabilitythatitwasMercurygiventhatitwashit. P(Mercury|hit)=P(Mercuryhit)P(hit) WewanttofindtheprobabilityWemultiplebecausewethatMercuryhitandallthe wantapersonandahit.otherhits.0.68 Hit 0.15x0.68=0.102Mercury0.32 P(Mercury|hit)=P(Mercuryhit)15Miss 0. P(hit)0.75 Hit 0.17x0.75=0.12750.17Jupiter0.25Miss =0.102 0.85 Hit0.20x0.85=0.170.102+0.1275+0.17+0.225+0.230.20Venus0.1 5 MissHit 0.25x0.90=0.225 P(Mercury|hit) =0.1020.25 0.90Mars0.10 0.8545 Miss0.23 1.00Hit0.23x1.00=.23 SailorMoon0.00 Miss 13. (B)IfthemonsterwashitwhatistheprobabilitythatitwasbyMercury? TheprobabilitythatitwasMercurygiventhatitwashit. P(Mercury|hit)=P(Mercuryhit)P(hit) WewanttofindtheprobabilityWemultiplebecausewethatMercuryhitandallthe wantapersonandahit.otherhits.0.68 Hit 0.15x0.68=0.102Mercury0.32 P(Mercury|hit)=P(Mercuryhit)15Miss 0. P(hit)0.75 Hit 0.17x0.75=0.12750.17Jupiter0.25Miss =0.102 0.85 Hit0.20x0.85=0.170.102+0.1275+0.17+0.225+0.230.20Venus0.1 5 MissHit 0.25x0.90=0.225 P(Mercury|hit) =0.1020.25 0.90Mars0.10 0.8545 Miss0.23 1.00Hit0.23x1.00=.23 SailorMoon0.00 MissP(Mercury|hit) = 0.1194 = 11.94% 14. Question # 2Solved!! 15. Attachments saliormonn.jpg