document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=521267>Question 521267</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Depakote is a medication whose purpose is to reduce the pain associated with migraine headaches.  In    	clinical trials of Depakote, 2% of the patients in the study experienced weight gain as a side effect.  	Suppose a random sample of 30 Depakote users is obtained.  Find the following probabilities:<BR>\n" );
document.write( "a. Exactly 3 experienced weight gain as a side effect<BR>\n" );
document.write( "b. 3 or fewer experienced weight gain as a side effect<BR>\n" );
document.write( "c. 4  or more experienced weight gain as a side effect.<BR>\n" );
document.write( "d. Between 1 and 4 patients, exclusive, experienced weight gain as a side effect. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #346402 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=346402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Depakote is a medication whose purpose is to reduce the pain associated with migraine headaches. <BR>\n" );
document.write( "In clinical trials of Depakote, 2% of the patients in the study experienced weight gain as a side effect. <BR>\n" );
document.write( "Suppose a random sample of 30 Depakote users is obtained.<BR>\n" );
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document.write( "Binomial Problem with n = 30 and p(side effect) = 0.02<BR>\n" );
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document.write( "Find the following probabilities:<BR>\n" );
document.write( "a. Exactly 3 experienced weight gain as a side effect<BR>\n" );
document.write( "P(x = 3) = 30C3*0.02^3*0.98^27 = 0.0188 <BR>\n" );
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document.write( "b. 3 or fewer experienced weight gain as a side effect<BR>\n" );
document.write( "P(0<= x <=3) = binomcdf(30,0.02,3) = 0.9971<BR>\n" );
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document.write( "c. 4 or more experienced weight gain as a side effect.<BR>\n" );
document.write( "P(4<= x <=30) = 1 - P(0<= x <=3) = 0.0029<BR>\n" );
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document.write( "d. Between 1 and 4 patients, exclusive, experienced weight gain as a side effect.<BR>\n" );
document.write( "P(1<= x <=4) = binomcdf(30,0.02,4) - binomcdf(30,0.02,0) = 0.4542<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );