document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189289>Question 1189289</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A new drug has a 75% probability of curing a patient within one week. Suppose 38 patientsare treated using this drug. Let X be the number of patients who are cured within a week. I found the standard deviation as 2.67 and mean as 28.5.\r<BR>\n" );
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document.write( "Find P(x-σ < X < x + σ)\r<BR>\n" );
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document.write( "I don't understand how to find this value between the two. My book got 0.740. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820623 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820623\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "You have the correct values for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu+=+28.5 ALIGN=MIDDLE  ALT=\"mu+=+28.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma+=+2.67 ALIGN=MIDDLE  ALT=\"sigma+=+2.67\"   DISABLED_style= \"max-width:90%; height:auto;\" > approximately.\r<BR>\n" );
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document.write( "I'm assuming you meant to say <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large P(\mu - \sigma < X < \mu + \sigma)\"> I replaced the lowercase x's with mu's.\r<BR>\n" );
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document.write( "If that's what your teacher wants, then I'm not sure how your book got 0.740\r<BR>\n" );
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document.write( "According to the Empirical Rule, it should be roughly 0.68 since about 68% of the population is within 1 standard deviation of the mean. The more accurate value is roughly 0.6826894921 which unfortunately is nowhere close to 0.740\r<BR>\n" );
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document.write( "Perhaps my assumption made at the top of this page is incorrect. If it is, then please let me know. <BR>\n" );
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