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Homework 3.8

Homework 3.8

Q Question 1. Version 1*/1. Score: 1/2 The graph illustrates the "Distribution of College Algebra Course Grades". 304254667890102Distribution of College Algebra Course Grades[Graphs generated by this script: setBorder(10,30,10,5);initPicture(-3.5,3.5,-.1,.45);line([-15.5,0],[15.5,0]);line([-3,.02],[-3,-.02]);text([-3,-.01],"30","below");line([-2,.02],[-2,-.02]);text([-2,-.01],"42","below");line([-1,.02],[-1,-.02]);text([-1,-.01],"54","below");line([0,.02],[0,-.02]);text([0,-.01],"66","below");line([1,.02],[1,-.02]);text([1,-.01],"78","below");line([2,.02],[2,-.02]);text([2,-.01],"90","below");line([3,.02],[3,-.02]);text([3,-.01],"102","below");textabs([200,0],'Distribution of College Algebra Course Grades','above');fill="none";path([[-3.5,0.00087268270248894],[-3.4125,0.0011808548546798],[-3.325,0.0015856655971737],[-3.2375,0.0021130103340165],[-3.15,0.0027942584387119],[-3.0625,0.00366696237757],[-2.975,0.0047755266178224],[-2.8875,0.006171788271972],[-2.8,0.0079154516504915],[-2.7125,0.01007431010247],[-2.625,0.012724181705357],[-2.5375,0.015948481633483],[-2.45,0.01983735456099],[-2.3625,0.024486296371885],[-2.275,0.029994206738768],[-2.1875,0.036460833487169],[-2.1,0.043983596355567],[-2.0125,0.052653811509711],[-1.925,0.062552378033174],[-1.8375,0.073745031931229],[-1.75,0.086277319562377],[-1.6625,0.10016948780033],[-1.575,0.1154115290627],[-1.4875,0.13195865176446],[-1.4,0.14972746691278],[-1.3125,0.16859318595606],[-1.225,0.1883881108589],[-1.1375,0.20890166300605],[-1.05,0.22988214264492],[-0.9625,0.25104033647462],[-0.875,0.27205500069892],[-0.7875,0.2925801450485],[-0.7,0.31225393603],[-0.6125,0.33070893210235],[-0.525,0.34758326725691],[-0.4375,0.36253232013251],[-0.35,0.37524035011739],[-0.2625,0.3854315552717],[-0.175,0.39288001279828],[-0.087500000000002,0.39741800230538],[-2.3037127760972E-15,0.39894228380404],[0.087499999999998,0.39741800230538],[0.175,0.39288001279828],[0.2625,0.3854315552717],[0.35,0.37524035011739],[0.4375,0.36253232013251],[0.525,0.34758326725691],[0.6125,0.33070893210235],[0.7,0.31225393603],[0.7875,0.2925801450485],[0.875,0.27205500069892],[0.9625,0.25104033647462],[1.05,0.22988214264492],[1.1375,0.20890166300605],[1.225,0.1883881108589],[1.3125,0.16859318595606],[1.4,0.14972746691278],[1.4875,0.13195865176446],[1.575,0.1154115290627],[1.6625,0.10016948780033],[1.75,0.086277319562378],[1.8375,0.073745031931229],[1.925,0.062552378033175],[2.0125,0.052653811509711],[2.1,0.043983596355567],[2.1875,0.03646083348717],[2.275,0.029994206738769],[2.3625,0.024486296371886],[2.45,0.01983735456099],[2.5375,0.015948481633483],[2.625,0.012724181705357],[2.7125,0.01007431010247],[2.8,0.0079154516504916],[2.8875,0.0061717882719721],[2.975,0.0047755266178225],[3.0625,0.0036669623775701],[3.15,0.0027942584387119],[3.2375,0.0021130103340166],[3.325,0.0015856655971737],[3.4125,0.0011808548546798],[3.5,0.00087268270248895]]);] What is the mean of this normal distribution? What is the standard deviation of this normal distribution?Question 2. Version 2*/2. Score: 2/2Expand The graph illustrates the "Distribution of the Prices of College Textbooks". 125151177203229255281Distribution of the Prices of College Textbooks[Graphs generated by this script: setBorder(10,30,10,5);initPicture(-3.5,3.5,-.1,.45);line([-29.5,0],[29.5,0]);line([-3,.02],[-3,-.02]);text([-3,-.01],"125","below");line([-2,.02],[-2,-.02]);text([-2,-.01],"151","below");line([-1,.02],[-1,-.02]);text([-1,-.01],"177","below");line([0,.02],[0,-.02]);text([0,-.01],"203","below");line([1,.02],[1,-.02]);text([1,-.01],"229","below");line([2,.02],[2,-.02]);text([2,-.01],"255","below");line([3,.02],[3,-.02]);text([3,-.01],"281","below");textabs([200,0],'Distribution of the Prices of College Textbooks','above');fill="none";path([[-3.5,0.00087268270248894],[-3.4125,0.0011808548546798],[-3.325,0.0015856655971737],[-3.2375,0.0021130103340165],[-3.15,0.0027942584387119],[-3.0625,0.00366696237757],[-2.975,0.0047755266178224],[-2.8875,0.006171788271972],[-2.8,0.0079154516504915],[-2.7125,0.01007431010247],[-2.625,0.012724181705357],[-2.5375,0.015948481633483],[-2.45,0.01983735456099],[-2.3625,0.024486296371885],[-2.275,0.029994206738768],[-2.1875,0.036460833487169],[-2.1,0.043983596355567],[-2.0125,0.052653811509711],[-1.925,0.062552378033174],[-1.8375,0.073745031931229],[-1.75,0.086277319562377],[-1.6625,0.10016948780033],[-1.575,0.1154115290627],[-1.4875,0.13195865176446],[-1.4,0.14972746691278],[-1.3125,0.16859318595606],[-1.225,0.1883881108589],[-1.1375,0.20890166300605],[-1.05,0.22988214264492],[-0.9625,0.25104033647462],[-0.875,0.27205500069892],[-0.7875,0.2925801450485],[-0.7,0.31225393603],[-0.6125,0.33070893210235],[-0.525,0.34758326725691],[-0.4375,0.36253232013251],[-0.35,0.37524035011739],[-0.2625,0.3854315552717],[-0.175,0.39288001279828],[-0.087500000000002,0.39741800230538],[-2.3037127760972E-15,0.39894228380404],[0.087499999999998,0.39741800230538],[0.175,0.39288001279828],[0.2625,0.3854315552717],[0.35,0.37524035011739],[0.4375,0.36253232013251],[0.525,0.34758326725691],[0.6125,0.33070893210235],[0.7,0.31225393603],[0.7875,0.2925801450485],[0.875,0.27205500069892],[0.9625,0.25104033647462],[1.05,0.22988214264492],[1.1375,0.20890166300605],[1.225,0.1883881108589],[1.3125,0.16859318595606],[1.4,0.14972746691278],[1.4875,0.13195865176446],[1.575,0.1154115290627],[1.6625,0.10016948780033],[1.75,0.086277319562378],[1.8375,0.073745031931229],[1.925,0.062552378033175],[2.0125,0.052653811509711],[2.1,0.043983596355567],[2.1875,0.03646083348717],[2.275,0.029994206738769],[2.3625,0.024486296371886],[2.45,0.01983735456099],[2.5375,0.015948481633483],[2.625,0.012724181705357],[2.7125,0.01007431010247],[2.8,0.0079154516504916],[2.8875,0.0061717882719721],[2.975,0.0047755266178225],[3.0625,0.0036669623775701],[3.15,0.0027942584387119],[3.2375,0.0021130103340166],[3.325,0.0015856655971737],[3.4125,0.0011808548546798],[3.5,0.00087268270248895]]);] What is the mean of this normal distribution? What is the standard deviation of this normal distribution?Question 3. Version 1*/1. Score: 2/2 The picture below has 3 normal curves plotted on the same set of axes. 1224364860728496108 Which of these best explains the relationships between the means and standard deviations of the three distributions?

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1.66 ,26 2.203 ,26 3.• The three distributions have different values for the mean because each curve has a different center; but, on the other hand, the three distributions have the same standard deviation because the distance from each graph's mean to the transition point or inflection point is the same for each distribution.