document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75985>Question 75985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help I am confused<BR>\n" );
document.write( "Approximately 25% of the population belongs to a health maintenance organization (HMO). Assume that for a randomly selected group of 20 adults, the number belonging to an HMO has a binomial distribution.\r<BR>\n" );
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document.write( "   7.    The probability of finding exactly 5 in the 20 who belong to an HMO is:\r<BR>\n" );
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document.write( "         a.   0.2023\r<BR>\n" );
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document.write( "         b.   0.1567\r<BR>\n" );
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document.write( "         c.   0.1750\r<BR>\n" );
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document.write( "         d.   0.2345\r<BR>\n" );
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document.write( "  The probability of finding at least one in the 20 who belongs to an HMO is:\r<BR>\n" );
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document.write( "         a.   0.7500\r<BR>\n" );
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document.write( "         b.   0.8012\r<BR>\n" );
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document.write( "         c.   0.9056\r<BR>\n" );
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document.write( "         d.   0.9968\r<BR>\n" );
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document.write( "Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54584 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=54584\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Approximately 25% of the population belongs to a health maintenance organization (HMO). Assume that for a randomly selected group of 20 adults, the number belonging to an HMO has a binomial distribution. \r<BR>\n" );
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document.write( "7. The probability of finding exactly 5 in the 20 who belong to an HMO is: <BR>\n" );
document.write( "a. 0.2023 <BR>\n" );
document.write( "b. 0.1567 <BR>\n" );
document.write( "c. 0.1750 <BR>\n" );
document.write( "d. 0.2345 <BR>\n" );
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document.write( "n=20 , p=0.25, x=5<BR>\n" );
document.write( "P(x=5)=20C5(0.25)^5(0.75)^15 = 0.20<BR>\n" );
document.write( "With a T caluculator it is binompdf(20,0.25,5)<BR>\n" );
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document.write( "The probability of finding at least one in the 20 who belongs to an HMO is: <BR>\n" );
document.write( "a. 0.7500 <BR>\n" );
document.write( "b. 0.8012 <BR>\n" );
document.write( "c. 0.9056 <BR>\n" );
document.write( "d. 0.9968<BR>\n" );
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document.write( "P(at least one) = 1 - P(x=0)<BR>\n" );
document.write( "=1 - 20C0(0.25)^0(0.75)^20 <BR>\n" );
document.write( "=1 - binompdf(20,0,25,0)<BR>\n" );
document.write( "=0.9968...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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