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The results of the latest writing of the LSAT (Law School Aptitude...

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The results of the latest writing of the LSAT (Law School Aptitude...

The results of the latest writing of the LSAT (Law School Aptitude Test) showed results that were normally distributed with a mean score of 837 and a standard deviation of 55.

(a) What percent of students scored between 795 and 949?

 What percent of students got 951 or more on the test? 

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Answered by Fernandovalero2020 on coursehero.com

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secsectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibussectetur adipiscing elit. Nam lacinia pulvinar tortor nec

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<p><span class="eqneditor-formula" data-value="\mu=837"><span class="katex"><span class="katex-html">sect</span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></p><p><span class="eqneditor-formula" data-value="\sigma=55"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.43056em;vertical-align:0em;"></span><span class="mord mathnormal" style="margin-right:.03588em;">se</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span></span></span></span></span></p><p>sectetur adipiscin</p><p>se</p><p><span 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style="height:.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p><p>sectetur adipiscing<span class="eqneditor-formula" data-value="z=\dfrac{795-837}{55}=-0.76"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.43056em;vertical-align:0em;"></span><span class="mord mathnormal" style="margin-right:.04398em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" 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class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em;"></span><span class="mord">sec</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></span></span></p><p>sectetur adipiscing<span class="eqneditor-formula" data-value="z=\dfrac{949-837}{55}=2.04"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.43056em;vertical-align:0em;"></span><span class="mord mathnormal" style="margin-right:.04398em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">s</span><span class="mord">s</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">sec</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></span></span></p><p>secte</p><p><span class="eqneditor-formula" data-value="P(795&lt;x&lt;949)=P(-0.76&lt;z&lt;2.04)=P(z&lt;2.04)-P(z&lt;-0.76)"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.5782em;vertical-align:-.0391em;"></span><span class="mord mathnormal">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord">sec</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.5782em;vertical-align:-.0391em;"></span><span class="mord mathnormal" style="margin-right:.04398em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.04398em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">sec</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.04398em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">sec</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span></span></span></span></span></p><p>sectetur adipiscing elit. Nam lacinia pulvinar tortor n</p><p><span class="eqneditor-formula" data-value="P(z&lt;2.04)-P(z&lt;-0.76)=0.9793-0.2236=0.7557"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.04398em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">sec</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.04398em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">sec</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">sec</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></span></span>sectetur adipisc</p><p>sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilis</p><p> </p><p>se</p><p><span class="eqneditor-formula" data-value="P(x\geq 951)=?"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">sec</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span></span><span class="base"><span class="strut" style="height:.69444em;vertical-align:0em;"></span><span class="mclose">s</span></span></span></span></span></p><p>sectetur adipiscing elit. Nam lacinia pulvinar tortor nec</p><p><span class="eqneditor-formula" data-value="P(x\geq 951)=1-P(x&lt;951)"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">sec</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em;"></span><span class="mord">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">sec</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span></span></span></span></span></p><p>secte</p><p>sectetur adipiscing el<span class="eqneditor-formula" data-value="z=\dfrac{951-837}{55}=2.07"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.43056em;vertical-align:0em;"></span><span class="mord mathnormal" style="margin-right:.04398em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:2.00744em;vertical-align:-.686em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">s</span><span class="mord">s</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">sec</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></span></span></p><p> </p><p>secte</p><p><span class="eqneditor-formula" data-value="P(x&lt;951)=P(z&lt;2.07)=0.9808"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.04398em;">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></span></span>sectetur adipiscing el</p><p>secte</p><p><span class="eqneditor-formula" data-value="P(x\geq 951)=1-0.9808=0.0192"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.13889em;">s</span><span class="mopen">s</span><span class="mord mathnormal">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">sec</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em;"></span><span class="mord">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">sec</span><span class="mspace" style="margin-right:.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></span></span>sectetur adipiscing el</p><p>sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pel</p><p> </p>

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sectetur adipiscing eli
sectetur adipiscing elit. Nam lacinia pulv

sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. Donec aliquet. Lor

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