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Suppose a person infected with coronavirus went to a maskless...
Suppose a person infected with coronavirus went to a maskless indoor party with 11 other people. Of the 11 people, 4 stood 3 feet apart from them and talked loudly with them for an hour. The other 7 people maintained a distance of at least six feet throughout the entire party. Suppose the infected person has a 40% chance of infecting people who stand within 3 feet and a 10% chance of infecting people who are in the same room but maintain a distance of at least 6 feet. Let I be the number of people the person infects at the party. Find E[I]
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<p>sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis.</p><p><span class="eqneditor-formula" data-value="\mu=E(x)=n.p"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.625em;vertical-align:-.19444em;"></span><span class="mord mathnormal">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:1em;vertical-align:-.25em;"></span><span class="mord mathnormal" style="margin-right:.05764em;">s</span><span class="mopen">s</span><span class="mord mathnormal">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:.625em;vertical-align:-.19444em;"></span><span class="mord mathnormal">s</span><span class="mord">s</span><span class="mord mathnormal">s</span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="E(X)=4(0.4)=1.6"><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:.05764em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.07847em;">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">s</span><span class="mopen">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></span></span></span></p><p>sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laor<br/>sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. 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Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lectus, congu</p><p><span class="eqneditor-formula" data-value="E(I)=E(X)+E(Y)"><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:.05764em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.07847em;">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:.05764em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.07847em;">s</span><span class="mclose">s</span><span class="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">s</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:.05764em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.22222em;">s</span><span class="mclose">s</span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="E(I)=1.6+0.7=2.3"><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:.05764em;">s</span><span class="mopen">s</span><span class="mord mathnormal" style="margin-right:.07847em;">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="mspace" style="margin-right:.2222222222222222em;"></span><span class="mbin">s</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="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></span></span></span></p><p>sectetur adipiscing elit. Nam lacinia pulvinar tortor nec</p>
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sectetur adipiscing elit. Nam lacinia p
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