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It,,,has,,,a,,,mean,,,of,,,50,,,and,,,a,,,standard,,,deviation,,,of,,,15.,,,Also,,an,,online,,normal,,distribution,,probability,,calculator,,may,,be,,useful,,to,,check,,your,,answers.,,Math,and,Precalculus,Math,Problems,Algebra,Questions,and,Problems,Graphs,of,Functions,,Equations,,and,Algebra,Free,Math,Worksheets,to,Download,Analytical,Tutorials,Solving,Equation,and,Inequalities,Online,Math,Calculators,and,Solvers,graphing,Free,Graph,Paper,Math,Software,Applied,Math,The,Applications,of,Mathematics,in,Physics,and,Engineering,Antennas,Exercises,de,Mathematiques,Utilisant,les,Applets,Calculus,Calculus,Tutorials,and,Problems,Calculus,Questions,With,Answers,Free,Calculus,Worksheets,to,Download,Free,Calculus,Worksheets,to,Download,Geometry,Geometry,Tutorials,and,Problems,Online,Geometry,Calculators,and,Solvers,Free,Geometry,Worksheets,to,Download,Trigonometry,Trigonometry,Tutorials,and,Problems,for,Self,Tests,Free,Trigonometry,Questions,with,Answers,Free,Trigonometry,Worksheets,to,Download,More,Statistics,Elementary,Statistics,and,Probability,Tutorials,and,Problems,Mathematics,pages,in,French,Site,About,the,author,Download,E-mail,Primary,Math,Middle,School,Math,High,School,Math,Free,Practice,for,SAT,,ACT,and,Compass,Math,tests,.,We,,have,,to,,find,,the,,probability,,that,,x,,is,,between,,50,,and,,70,,or,,P(,,50<,,x,,<,,70),,For,,x,,=,,50,,,,,z,,=,,(50,,-,,50),,/,,15,,=,,0,,For,,x,,=,,70,,,,,z,,=,,(70,,-,,50),,/,,15,,=,,1.33,,(rounded,,to,,2,,decimal,,places),,P(,,50<,,x,,<,,70),,=,,P(,,0<,,z,,<,,1.33),,=,,[area,,to,,the,,left,,of,,z,,=,,1.33],,-,,[area,,to,,the,,left,,of,,z,,=,,0],,=,,0.9082,,-,,0.5,,=,,0.4082,,The,,probability,,that,,John's,,computer,,has,,a,,length,,of,,time,,between,,50,,and,,70,,hours,,is,,equal,,to,,0.4082.,,Free,Mathematics,Tutorials,.,Let,,x,,be,,the,,random,,variable,,that,,represents,,the,,scores.,,c)For,,,x,,,=,,,70000,,,,z,,,=,,,1,,,Area,,,to,,,the,,,right,,,(higher),,,of,,,z,,,=,,,1,,,is,,,equal,,,to,,,0.1586,,,=,,,15.86%,,,earn,,,more,,,than,,,$70,000.,,,

Home,,,Page,,,–,,,HTML5,,,Math,,,Applets,,,for,,,Mobile,,,Learning,,,–,,,Math,,,Formulas,,,for,,,Mobile,,,Learning,,,–,,,Algebra,,,Questions,,,–,,,Math,,,Worksheets,,,–,,,Free,,,Compass,,,Math,,,tests,,,Practice,,,Free,,,Practice,,,for,,,SAT,,,,ACT,,,Math,,,tests,,,–,,,GRE,,,practice,,,–,,,GMAT,,,practice,,,Precalculus,,,Tutorials,,,–,,,Precalculus,,,Questions,,,and,,,Problems,,,–,,,Precalculus,,,Applets,,,–,,,Equations,,,,Systems,,,and,,,Inequalities,,,–,,,Online,,,Calculators,,,–,,,Graphing,,,–,,,Trigonometry,,,–,,,Trigonometry,,,Worsheets,,,–,,,Geometry,,,Tutorials,,,–,,,Geometry,,,Calculators,,,–,,,Geometry,,,Worksheets,,,–,,,Calculus,,,Tutorials,,,–,,,Calculus,,,Questions,,,–,,,Calculus,,,Worksheets,,,–,,,Applied,,,Math,,,–,,,Antennas,,,–,,,Math,,,Software,,,–,,,Elementary,,,Statistics,,,High,,,School,,,Math,,,–,,,Middle,,,School,,,Math,,,–,,,Primary,,,Math,,,Math,,,Videos,,,From,,,Analyzemath,,,Author,,,-,,,e-mail,,,Updated:,,,2,,,April,,,2013,,,Copyright,,,,,,2003,,,-,,,2014,,,-,,,All,,,rights,,,reserved,,,SHARE,,,Tweet,,,Additional,,,Info,,,privacy,,,policy,,,.,,,a),For,x,=,40000,,z,=,-0.5,Area,to,the,left,(less,than),of,z,=,-0.5,is,equal,to,0.3085,=,30.85%,earn,less,than,$40,000.,b),For,x,=,60,,z,=,-1,Area,to,the,right,of,z,=,-1,is,equal,to,0.8413,=,84.13%,should,pass,the,test.,Find,,,a),,,P(x,,,21),,,c),,,P(30,,,21),,,=,,,P(z,,,>,,,-2.25),,,=,,,[total,,,area],,,-,,,[area,,,to,,,the,,,left,,,of,,,-2.25],,,=,,,1,,,-,,,0.0122,,,=,,,0.9878,,,c),,,For,,,x,,,=,,,30,,,,,,,z,,,=,,,(30,,,-,,,30),,,/,,,4,,,=,,,0,,,and,,,for,,,x,,,=,,,35,,,,z,,,=,,,(35,,,-,,,30),,,/,,,4,,,=,,,1.25,,,Hence,,,P(30,,,100),,,For,,,x,,,=,,,100,,,,,,,z,,,=,,,(100,,,-,,,90),,,/,,,10,,,=,,,1,,,P(x,,,>,,,90),,,=,,,P(z,,,>,,,,1),,,=,,,[total,,,area],,,-,,,[area,,,to,,,the,,,left,,,of,,,z,,,=,,,1],,,=,,,1,,,-,,,0.8413,,,=,,,0.1587,,,The,,,probability,,,that,,,a,,,car,,,selected,,,at,,,a,,,random,,,has,,,a,,,speed,,,greater,,,than,,,100,,,km/hr,,,is,,,equal,,,to,,,0.1587,,,Let,,,x,,,be,,,the,,,random,,,variable,,,that,,,represents,,,the,,,length,,,of,,,time.,,,b),,,For,,,x,,,=,,,45000,,,,,,,z,,,=,,,-0.25,,,and,,,for,,,x,,,=,,,65000,,,,z,,,=,,,0.75,,,Area,,,between,,,z,,,=,,,-0.25,,,and,,,z,,,=,,,0.75,,,is,,,equal,,,to,,,0.3720,,,=,,,37.20,,,earn,,,between,,,$45,000,,,and,,,$65,000.,,,..,c)100%,,,-,,,84.13%,,,=,,,15.87%,,,should,,,fail,,,the,,,test.,,,X,,is,,a,,normally,,normally,,distributed,,variable,,with,,mean,,&#x3BC;,,=,,30,,and,,standard,,deviation,,&#x3C3;,,=,,4.,,x,,is,,normally,,ditsributed,,with,,a,,mean,,of,,500,,and,,a,,standard,,deviation,,of,,100.,,

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